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Finding the Fourth Proportional to 12,307.92, 18,462.96 and 3,543.72

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Solution

The fourth proportional to 12,307.92, 18,462.96 and 3,543.72 is: 5,315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.92 : 18,462.96 = 3,543.72 : x
  2. Step 2: Convert to fraction form
    12,307.92/18,462.96 = 3,543.72/x
  3. Step 3: Cross multiply
    12,307.92x = 18,462.96 × 3,543.72
  4. Step 4: Simplify right side
    12,307.92x = 65,427,560.61
  5. Step 5: Solve for x
    x = 65,427,560.61/12,307.92
  6. Step 6: Final answer
    x = 5,315.89

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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.