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Finding the Fourth Proportional to 16,952.28, 23,389 and 9,877.44

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Solution

The fourth proportional to 16,952.28, 23,389 and 9,877.44 is: 13,627.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.28 : 23,389 = 9,877.44 : x
  2. Step 2: Convert to fraction form
    16,952.28/23,389 = 9,877.44/x
  3. Step 3: Cross multiply
    16,952.28x = 23,389 × 9,877.44
  4. Step 4: Simplify right side
    16,952.28x = 231,023,444.16
  5. Step 5: Solve for x
    x = 231,023,444.16/16,952.28
  6. Step 6: Final answer
    x = 13,627.87

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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.