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Finding the Fourth Proportional to 12,702.31, 17,528.96 and 7,036.94

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Solution

The fourth proportional to 12,702.31, 17,528.96 and 7,036.94 is: 9,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.31 : 17,528.96 = 7,036.94 : x
  2. Step 2: Convert to fraction form
    12,702.31/17,528.96 = 7,036.94/x
  3. Step 3: Cross multiply
    12,702.31x = 17,528.96 × 7,036.94
  4. Step 4: Simplify right side
    12,702.31x = 123,350,239.78
  5. Step 5: Solve for x
    x = 123,350,239.78/12,702.31
  6. Step 6: Final answer
    x = 9,710.85

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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.