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Finding the Fourth Proportional to 17,702.17, 26,549 and 5,218.82

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Solution

The fourth proportional to 17,702.17, 26,549 and 5,218.82 is: 7,826.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.17 : 26,549 = 5,218.82 : x
  2. Step 2: Convert to fraction form
    17,702.17/26,549 = 5,218.82/x
  3. Step 3: Cross multiply
    17,702.17x = 26,549 × 5,218.82
  4. Step 4: Simplify right side
    17,702.17x = 138,554,452.18
  5. Step 5: Solve for x
    x = 138,554,452.18/17,702.17
  6. Step 6: Final answer
    x = 7,826.98

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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.