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Finding the Fourth Proportional to 14,497,202.20, 21,762,593.70 and 7,778,738.20

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Solution

The fourth proportional to 14,497,202.20, 21,762,593.70 and 7,778,738.20 is: 11,677,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497,202.20 : 21,762,593.70 = 7,778,738.20 : x
  2. Step 2: Convert to fraction form
    14,497,202.20/21,762,593.70 = 7,778,738.20/x
  3. Step 3: Cross multiply
    14,497,202.20x = 21,762,593.70 × 7,778,738.20
  4. Step 4: Simplify right side
    14,497,202.20x = 169,285,518,945,269.34
  5. Step 5: Solve for x
    x = 169,285,518,945,269.34/14,497,202.20
  6. Step 6: Final answer
    x = 11,677,116.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.