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Finding the Fourth Proportional to 14,922, 20,592.88 and 8,208.14

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Solution

The fourth proportional to 14,922, 20,592.88 and 8,208.14 is: 11,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,922 : 20,592.88 = 8,208.14 : x
  2. Step 2: Convert to fraction form
    14,922/20,592.88 = 8,208.14/x
  3. Step 3: Cross multiply
    14,922x = 20,592.88 × 8,208.14
  4. Step 4: Simplify right side
    14,922x = 169,029,118.56
  5. Step 5: Solve for x
    x = 169,029,118.56/14,922
  6. Step 6: Final answer
    x = 11,327.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.