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Finding the Fourth Proportional to 12,702.90, 17,530.20 and 7,397.58

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Solution

The fourth proportional to 12,702.90, 17,530.20 and 7,397.58 is: 10,208.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.90 : 17,530.20 = 7,397.58 : x
  2. Step 2: Convert to fraction form
    12,702.90/17,530.20 = 7,397.58/x
  3. Step 3: Cross multiply
    12,702.90x = 17,530.20 × 7,397.58
  4. Step 4: Simplify right side
    12,702.90x = 129,681,056.92
  5. Step 5: Solve for x
    x = 129,681,056.92/12,702.90
  6. Step 6: Final answer
    x = 10,208.78

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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.