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Finding the Fourth Proportional to 12,702.19, 17,530.11 and 7,397.50

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Solution

The fourth proportional to 12,702.19, 17,530.11 and 7,397.50 is: 10,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.19 : 17,530.11 = 7,397.50 : x
  2. Step 2: Convert to fraction form
    12,702.19/17,530.11 = 7,397.50/x
  3. Step 3: Cross multiply
    12,702.19x = 17,530.11 × 7,397.50
  4. Step 4: Simplify right side
    12,702.19x = 129,678,988.73
  5. Step 5: Solve for x
    x = 129,678,988.73/12,702.19
  6. Step 6: Final answer
    x = 10,209.18

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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.