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Finding the Fourth Proportional to 25,753.77, 38,645.52 and 13,907.75

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Solution

The fourth proportional to 25,753.77, 38,645.52 and 13,907.75 is: 20,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,753.77 : 38,645.52 = 13,907.75 : x
  2. Step 2: Convert to fraction form
    25,753.77/38,645.52 = 13,907.75/x
  3. Step 3: Cross multiply
    25,753.77x = 38,645.52 × 13,907.75
  4. Step 4: Simplify right side
    25,753.77x = 537,472,037.55
  5. Step 5: Solve for x
    x = 537,472,037.55/25,753.77
  6. Step 6: Final answer
    x = 20,869.65

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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.