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Finding the Fourth Proportional to 17,229.90, 23,776.71 and 9,677.58

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Solution

The fourth proportional to 17,229.90, 23,776.71 and 9,677.58 is: 13,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,229.90 : 23,776.71 = 9,677.58 : x
  2. Step 2: Convert to fraction form
    17,229.90/23,776.71 = 9,677.58/x
  3. Step 3: Cross multiply
    17,229.90x = 23,776.71 × 9,677.58
  4. Step 4: Simplify right side
    17,229.90x = 230,101,013.16
  5. Step 5: Solve for x
    x = 230,101,013.16/17,229.90
  6. Step 6: Final answer
    x = 13,354.75

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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.