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Finding the Fourth Proportional to 16,729.52, 23,085.05 and 9,658.22

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Solution

The fourth proportional to 16,729.52, 23,085.05 and 9,658.22 is: 13,327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,729.52 : 23,085.05 = 9,658.22 : x
  2. Step 2: Convert to fraction form
    16,729.52/23,085.05 = 9,658.22/x
  3. Step 3: Cross multiply
    16,729.52x = 23,085.05 × 9,658.22
  4. Step 4: Simplify right side
    16,729.52x = 222,960,327.89
  5. Step 5: Solve for x
    x = 222,960,327.89/16,729.52
  6. Step 6: Final answer
    x = 13,327.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.