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Finding the Fourth Proportional to 25,143.30, 34,697.85 and 13,813.71

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Solution

The fourth proportional to 25,143.30, 34,697.85 and 13,813.71 is: 19,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,143.30 : 34,697.85 = 13,813.71 : x
  2. Step 2: Convert to fraction form
    25,143.30/34,697.85 = 13,813.71/x
  3. Step 3: Cross multiply
    25,143.30x = 34,697.85 × 13,813.71
  4. Step 4: Simplify right side
    25,143.30x = 479,306,037.52
  5. Step 5: Solve for x
    x = 479,306,037.52/25,143.30
  6. Step 6: Final answer
    x = 19,062.97

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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.