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Finding the Fourth Proportional to 17,642.26, 26,424.51 and 10,702.18

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Solution

The fourth proportional to 17,642.26, 26,424.51 and 10,702.18 is: 16,029.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.26 : 26,424.51 = 10,702.18 : x
  2. Step 2: Convert to fraction form
    17,642.26/26,424.51 = 10,702.18/x
  3. Step 3: Cross multiply
    17,642.26x = 26,424.51 × 10,702.18
  4. Step 4: Simplify right side
    17,642.26x = 282,799,862.43
  5. Step 5: Solve for x
    x = 282,799,862.43/17,642.26
  6. Step 6: Final answer
    x = 16,029.68

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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.