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Finding the Fourth Proportional to 12,702.82, 17,529.85 and 7,037.57

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Solution

The fourth proportional to 12,702.82, 17,529.85 and 7,037.57 is: 9,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.82 : 17,529.85 = 7,037.57 : x
  2. Step 2: Convert to fraction form
    12,702.82/17,529.85 = 7,037.57/x
  3. Step 3: Cross multiply
    12,702.82x = 17,529.85 × 7,037.57
  4. Step 4: Simplify right side
    12,702.82x = 123,367,511.28
  5. Step 5: Solve for x
    x = 123,367,511.28/12,702.82
  6. Step 6: Final answer
    x = 9,711.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.