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Finding the Fourth Proportional to 25,276.71, 37,888.38 and 9,471.42

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Solution

The fourth proportional to 25,276.71, 37,888.38 and 9,471.42 is: 14,197.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,276.71 : 37,888.38 = 9,471.42 : x
  2. Step 2: Convert to fraction form
    25,276.71/37,888.38 = 9,471.42/x
  3. Step 3: Cross multiply
    25,276.71x = 37,888.38 × 9,471.42
  4. Step 4: Simplify right side
    25,276.71x = 358,856,760.10
  5. Step 5: Solve for x
    x = 358,856,760.10/25,276.71
  6. Step 6: Final answer
    x = 14,197.13

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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.