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Finding the Fourth Proportional to 16,191.57, 24,265.47 and 8,405.85

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Solution

The fourth proportional to 16,191.57, 24,265.47 and 8,405.85 is: 12,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.57 : 24,265.47 = 8,405.85 : x
  2. Step 2: Convert to fraction form
    16,191.57/24,265.47 = 8,405.85/x
  3. Step 3: Cross multiply
    16,191.57x = 24,265.47 × 8,405.85
  4. Step 4: Simplify right side
    16,191.57x = 203,971,901.00
  5. Step 5: Solve for x
    x = 203,971,901.00/16,191.57
  6. Step 6: Final answer
    x = 12,597.41

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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.