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Finding the Fourth Proportional to 14,827.52, 22,218.24 and 9,344

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Solution

The fourth proportional to 14,827.52, 22,218.24 and 9,344 is: 14,001.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827.52 : 22,218.24 = 9,344 : x
  2. Step 2: Convert to fraction form
    14,827.52/22,218.24 = 9,344/x
  3. Step 3: Cross multiply
    14,827.52x = 22,218.24 × 9,344
  4. Step 4: Simplify right side
    14,827.52x = 207,607,234.56
  5. Step 5: Solve for x
    x = 207,607,234.56/14,827.52
  6. Step 6: Final answer
    x = 14,001.48

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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.