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Finding the Fourth Proportional to 17,638.64, 26,454.96 and 6,542.72

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Solution

The fourth proportional to 17,638.64, 26,454.96 and 6,542.72 is: 9,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.64 : 26,454.96 = 6,542.72 : x
  2. Step 2: Convert to fraction form
    17,638.64/26,454.96 = 6,542.72/x
  3. Step 3: Cross multiply
    17,638.64x = 26,454.96 × 6,542.72
  4. Step 4: Simplify right side
    17,638.64x = 173,087,395.89
  5. Step 5: Solve for x
    x = 173,087,395.89/17,638.64
  6. Step 6: Final answer
    x = 9,812.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.