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Finding the Fourth Proportional to 12,202.66, 18,309.45 and 5,625.32

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Solution

The fourth proportional to 12,202.66, 18,309.45 and 5,625.32 is: 8,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.66 : 18,309.45 = 5,625.32 : x
  2. Step 2: Convert to fraction form
    12,202.66/18,309.45 = 5,625.32/x
  3. Step 3: Cross multiply
    12,202.66x = 18,309.45 × 5,625.32
  4. Step 4: Simplify right side
    12,202.66x = 102,996,515.27
  5. Step 5: Solve for x
    x = 102,996,515.27/12,202.66
  6. Step 6: Final answer
    x = 8,440.50

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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.