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Finding the Fourth Proportional to 13,856.87, 20,732.90 and 8,500.92

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Solution

The fourth proportional to 13,856.87, 20,732.90 and 8,500.92 is: 12,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.87 : 20,732.90 = 8,500.92 : x
  2. Step 2: Convert to fraction form
    13,856.87/20,732.90 = 8,500.92/x
  3. Step 3: Cross multiply
    13,856.87x = 20,732.90 × 8,500.92
  4. Step 4: Simplify right side
    13,856.87x = 176,248,681.76
  5. Step 5: Solve for x
    x = 176,248,681.76/13,856.87
  6. Step 6: Final answer
    x = 12,719.23

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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.