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Finding the Fourth Proportional to 16,191.60, 24,281 and 7,869.15

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Solution

The fourth proportional to 16,191.60, 24,281 and 7,869.15 is: 11,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.60 : 24,281 = 7,869.15 : x
  2. Step 2: Convert to fraction form
    16,191.60/24,281 = 7,869.15/x
  3. Step 3: Cross multiply
    16,191.60x = 24,281 × 7,869.15
  4. Step 4: Simplify right side
    16,191.60x = 191,070,831.15
  5. Step 5: Solve for x
    x = 191,070,831.15/16,191.60
  6. Step 6: Final answer
    x = 11,800.61

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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.