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Finding the Fourth Proportional to 25,472.32, 35,151.24 and 14,863

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Solution

The fourth proportional to 25,472.32, 35,151.24 and 14,863 is: 20,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,472.32 : 35,151.24 = 14,863 : x
  2. Step 2: Convert to fraction form
    25,472.32/35,151.24 = 14,863/x
  3. Step 3: Cross multiply
    25,472.32x = 35,151.24 × 14,863
  4. Step 4: Simplify right side
    25,472.32x = 522,452,880.12
  5. Step 5: Solve for x
    x = 522,452,880.12/25,472.32
  6. Step 6: Final answer
    x = 20,510.61

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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.