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Finding the Fourth Proportional to 19,452.54, 29,177.84 and 6,972.36

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Solution

The fourth proportional to 19,452.54, 29,177.84 and 6,972.36 is: 10,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,452.54 : 29,177.84 = 6,972.36 : x
  2. Step 2: Convert to fraction form
    19,452.54/29,177.84 = 6,972.36/x
  3. Step 3: Cross multiply
    19,452.54x = 29,177.84 × 6,972.36
  4. Step 4: Simplify right side
    19,452.54x = 203,438,404.50
  5. Step 5: Solve for x
    x = 203,438,404.50/19,452.54
  6. Step 6: Final answer
    x = 10,458.19

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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.