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Finding the Fourth Proportional to 17,735.31, 24,466.35 and 11,691.90

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Solution

The fourth proportional to 17,735.31, 24,466.35 and 11,691.90 is: 16,129.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.31 : 24,466.35 = 11,691.90 : x
  2. Step 2: Convert to fraction form
    17,735.31/24,466.35 = 11,691.90/x
  3. Step 3: Cross multiply
    17,735.31x = 24,466.35 × 11,691.90
  4. Step 4: Simplify right side
    17,735.31x = 286,058,117.57
  5. Step 5: Solve for x
    x = 286,058,117.57/17,735.31
  6. Step 6: Final answer
    x = 16,129.30

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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.