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Finding the Fourth Proportional to 25,685.72, 35,447.10 and 14,508.44

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Solution

The fourth proportional to 25,685.72, 35,447.10 and 14,508.44 is: 20,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685.72 : 35,447.10 = 14,508.44 : x
  2. Step 2: Convert to fraction form
    25,685.72/35,447.10 = 14,508.44/x
  3. Step 3: Cross multiply
    25,685.72x = 35,447.10 × 14,508.44
  4. Step 4: Simplify right side
    25,685.72x = 514,282,123.52
  5. Step 5: Solve for x
    x = 514,282,123.52/25,685.72
  6. Step 6: Final answer
    x = 20,022.10

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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.