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Finding the Fourth Proportional to 25,414.83, 35,071.49 and 14,660.15

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Solution

The fourth proportional to 25,414.83, 35,071.49 and 14,660.15 is: 20,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,414.83 : 35,071.49 = 14,660.15 : x
  2. Step 2: Convert to fraction form
    25,414.83/35,071.49 = 14,660.15/x
  3. Step 3: Cross multiply
    25,414.83x = 35,071.49 × 14,660.15
  4. Step 4: Simplify right side
    25,414.83x = 514,153,304.12
  5. Step 5: Solve for x
    x = 514,153,304.12/25,414.83
  6. Step 6: Final answer
    x = 20,230.44

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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.