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Finding the Fourth Proportional to 25,516.16, 37,996.96 and 25,424

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Solution

The fourth proportional to 25,516.16, 37,996.96 and 25,424 is: 37,859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,516.16 : 37,996.96 = 25,424 : x
  2. Step 2: Convert to fraction form
    25,516.16/37,996.96 = 25,424/x
  3. Step 3: Cross multiply
    25,516.16x = 37,996.96 × 25,424
  4. Step 4: Simplify right side
    25,516.16x = 966,034,711.04
  5. Step 5: Solve for x
    x = 966,034,711.04/25,516.16
  6. Step 6: Final answer
    x = 37,859.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.