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Finding the Fourth Proportional to 11,349.92, 17,024.80 and 3,141.92

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Solution

The fourth proportional to 11,349.92, 17,024.80 and 3,141.92 is: 4,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.92 : 17,024.80 = 3,141.92 : x
  2. Step 2: Convert to fraction form
    11,349.92/17,024.80 = 3,141.92/x
  3. Step 3: Cross multiply
    11,349.92x = 17,024.80 × 3,141.92
  4. Step 4: Simplify right side
    11,349.92x = 53,490,559.62
  5. Step 5: Solve for x
    x = 53,490,559.62/11,349.92
  6. Step 6: Final answer
    x = 4,712.86

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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.