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Finding the Fourth Proportional to 19,472.32, 29,200.56 and 6,143.68

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Solution

The fourth proportional to 19,472.32, 29,200.56 and 6,143.68 is: 9,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,472.32 : 29,200.56 = 6,143.68 : x
  2. Step 2: Convert to fraction form
    19,472.32/29,200.56 = 6,143.68/x
  3. Step 3: Cross multiply
    19,472.32x = 29,200.56 × 6,143.68
  4. Step 4: Simplify right side
    19,472.32x = 179,398,896.46
  5. Step 5: Solve for x
    x = 179,398,896.46/19,472.32
  6. Step 6: Final answer
    x = 9,213.02

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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.