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Finding the Fourth Proportional to 19,958.52, 29,948.75 and 7,487.16

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Solution

The fourth proportional to 19,958.52, 29,948.75 and 7,487.16 is: 11,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,958.52 : 29,948.75 = 7,487.16 : x
  2. Step 2: Convert to fraction form
    19,958.52/29,948.75 = 7,487.16/x
  3. Step 3: Cross multiply
    19,958.52x = 29,948.75 × 7,487.16
  4. Step 4: Simplify right side
    19,958.52x = 224,231,083.05
  5. Step 5: Solve for x
    x = 224,231,083.05/19,958.52
  6. Step 6: Final answer
    x = 11,234.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.