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Finding the Fourth Proportional to 16,344.88, 22,549.86 and 9,969.27

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Solution

The fourth proportional to 16,344.88, 22,549.86 and 9,969.27 is: 13,753.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.88 : 22,549.86 = 9,969.27 : x
  2. Step 2: Convert to fraction form
    16,344.88/22,549.86 = 9,969.27/x
  3. Step 3: Cross multiply
    16,344.88x = 22,549.86 × 9,969.27
  4. Step 4: Simplify right side
    16,344.88x = 224,805,642.80
  5. Step 5: Solve for x
    x = 224,805,642.80/16,344.88
  6. Step 6: Final answer
    x = 13,753.89

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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.