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Finding the Fourth Proportional to 22,801.10, 31,465.54 and 12,729.53

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Solution

The fourth proportional to 22,801.10, 31,465.54 and 12,729.53 is: 17,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,801.10 : 31,465.54 = 12,729.53 : x
  2. Step 2: Convert to fraction form
    22,801.10/31,465.54 = 12,729.53/x
  3. Step 3: Cross multiply
    22,801.10x = 31,465.54 × 12,729.53
  4. Step 4: Simplify right side
    22,801.10x = 400,541,505.67
  5. Step 5: Solve for x
    x = 400,541,505.67/22,801.10
  6. Step 6: Final answer
    x = 17,566.77

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