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Finding the Fourth Proportional to 17,734, 26,565.54 and 11,472.40

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Solution

The fourth proportional to 17,734, 26,565.54 and 11,472.40 is: 17,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734 : 26,565.54 = 11,472.40 : x
  2. Step 2: Convert to fraction form
    17,734/26,565.54 = 11,472.40/x
  3. Step 3: Cross multiply
    17,734x = 26,565.54 × 11,472.40
  4. Step 4: Simplify right side
    17,734x = 304,770,501.10
  5. Step 5: Solve for x
    x = 304,770,501.10/17,734
  6. Step 6: Final answer
    x = 17,185.66

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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.