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Finding the Fourth Proportional to 15,414.57, 23,065.02 and 10,898.28

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Solution

The fourth proportional to 15,414.57, 23,065.02 and 10,898.28 is: 16,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414.57 : 23,065.02 = 10,898.28 : x
  2. Step 2: Convert to fraction form
    15,414.57/23,065.02 = 10,898.28/x
  3. Step 3: Cross multiply
    15,414.57x = 23,065.02 × 10,898.28
  4. Step 4: Simplify right side
    15,414.57x = 251,369,046.17
  5. Step 5: Solve for x
    x = 251,369,046.17/15,414.57
  6. Step 6: Final answer
    x = 16,307.24

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