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Finding the Fourth Proportional to 25,471.40, 38,151.74 and 15,580.76

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Solution

The fourth proportional to 25,471.40, 38,151.74 and 15,580.76 is: 23,337.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,471.40 : 38,151.74 = 15,580.76 : x
  2. Step 2: Convert to fraction form
    25,471.40/38,151.74 = 15,580.76/x
  3. Step 3: Cross multiply
    25,471.40x = 38,151.74 × 15,580.76
  4. Step 4: Simplify right side
    25,471.40x = 594,432,952.72
  5. Step 5: Solve for x
    x = 594,432,952.72/25,471.40
  6. Step 6: Final answer
    x = 23,337.28

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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.