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Finding the Fourth Proportional to 29,468.28, 44,204.64 and 9,760.80

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Solution

The fourth proportional to 29,468.28, 44,204.64 and 9,760.80 is: 14,641.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,468.28 : 44,204.64 = 9,760.80 : x
  2. Step 2: Convert to fraction form
    29,468.28/44,204.64 = 9,760.80/x
  3. Step 3: Cross multiply
    29,468.28x = 44,204.64 × 9,760.80
  4. Step 4: Simplify right side
    29,468.28x = 431,472,650.11
  5. Step 5: Solve for x
    x = 431,472,650.11/29,468.28
  6. Step 6: Final answer
    x = 14,641.94

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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.