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Finding the Fourth Proportional to 12,385.40, 18,564.11 and 6,149.86

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Solution

The fourth proportional to 12,385.40, 18,564.11 and 6,149.86 is: 9,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.40 : 18,564.11 = 6,149.86 : x
  2. Step 2: Convert to fraction form
    12,385.40/18,564.11 = 6,149.86/x
  3. Step 3: Cross multiply
    12,385.40x = 18,564.11 × 6,149.86
  4. Step 4: Simplify right side
    12,385.40x = 114,166,693.19
  5. Step 5: Solve for x
    x = 114,166,693.19/12,385.40
  6. Step 6: Final answer
    x = 9,217.84

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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.