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Finding the Fourth Proportional to 12,638.52, 17,430.66 and 9,489.24

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Solution

The fourth proportional to 12,638.52, 17,430.66 and 9,489.24 is: 13,087.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.52 : 17,430.66 = 9,489.24 : x
  2. Step 2: Convert to fraction form
    12,638.52/17,430.66 = 9,489.24/x
  3. Step 3: Cross multiply
    12,638.52x = 17,430.66 × 9,489.24
  4. Step 4: Simplify right side
    12,638.52x = 165,403,716.10
  5. Step 5: Solve for x
    x = 165,403,716.10/12,638.52
  6. Step 6: Final answer
    x = 13,087.27

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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.