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Finding the Fourth Proportional to 19,432.80, 29,127.60 and 10,069.20

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Solution

The fourth proportional to 19,432.80, 29,127.60 and 10,069.20 is: 15,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,432.80 : 29,127.60 = 10,069.20 : x
  2. Step 2: Convert to fraction form
    19,432.80/29,127.60 = 10,069.20/x
  3. Step 3: Cross multiply
    19,432.80x = 29,127.60 × 10,069.20
  4. Step 4: Simplify right side
    19,432.80x = 293,291,629.92
  5. Step 5: Solve for x
    x = 293,291,629.92/19,432.80
  6. Step 6: Final answer
    x = 15,092.61

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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.