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Finding the Fourth Proportional to 12,335.18, 18,505.54 and 5,757.78

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Solution

The fourth proportional to 12,335.18, 18,505.54 and 5,757.78 is: 8,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.18 : 18,505.54 = 5,757.78 : x
  2. Step 2: Convert to fraction form
    12,335.18/18,505.54 = 5,757.78/x
  3. Step 3: Cross multiply
    12,335.18x = 18,505.54 × 5,757.78
  4. Step 4: Simplify right side
    12,335.18x = 106,550,813.71
  5. Step 5: Solve for x
    x = 106,550,813.71/12,335.18
  6. Step 6: Final answer
    x = 8,637.96

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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.