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Finding the Fourth Proportional to 17,565.38, 26,345.22 and 6,469.34

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Solution

The fourth proportional to 17,565.38, 26,345.22 and 6,469.34 is: 9,702.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,565.38 : 26,345.22 = 6,469.34 : x
  2. Step 2: Convert to fraction form
    17,565.38/26,345.22 = 6,469.34/x
  3. Step 3: Cross multiply
    17,565.38x = 26,345.22 × 6,469.34
  4. Step 4: Simplify right side
    17,565.38x = 170,436,185.55
  5. Step 5: Solve for x
    x = 170,436,185.55/17,565.38
  6. Step 6: Final answer
    x = 9,702.96

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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.