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Finding the Fourth Proportional to 12,535.01, 18,802.65 and 5,961.86

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Solution

The fourth proportional to 12,535.01, 18,802.65 and 5,961.86 is: 8,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.01 : 18,802.65 = 5,961.86 : x
  2. Step 2: Convert to fraction form
    12,535.01/18,802.65 = 5,961.86/x
  3. Step 3: Cross multiply
    12,535.01x = 18,802.65 × 5,961.86
  4. Step 4: Simplify right side
    12,535.01x = 112,098,766.93
  5. Step 5: Solve for x
    x = 112,098,766.93/12,535.01
  6. Step 6: Final answer
    x = 8,942.85

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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.