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Finding the Fourth Proportional to 12,431.28, 18,641.43 and 6,586.53

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Solution

The fourth proportional to 12,431.28, 18,641.43 and 6,586.53 is: 9,876.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.28 : 18,641.43 = 6,586.53 : x
  2. Step 2: Convert to fraction form
    12,431.28/18,641.43 = 6,586.53/x
  3. Step 3: Cross multiply
    12,431.28x = 18,641.43 × 6,586.53
  4. Step 4: Simplify right side
    12,431.28x = 122,782,337.94
  5. Step 5: Solve for x
    x = 122,782,337.94/12,431.28
  6. Step 6: Final answer
    x = 9,876.89

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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.