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Finding the Fourth Proportional to 12,702.18, 17,527.68 and 7,395.87

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Solution

The fourth proportional to 12,702.18, 17,527.68 and 7,395.87 is: 10,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.18 : 17,527.68 = 7,395.87 : x
  2. Step 2: Convert to fraction form
    12,702.18/17,527.68 = 7,395.87/x
  3. Step 3: Cross multiply
    12,702.18x = 17,527.68 × 7,395.87
  4. Step 4: Simplify right side
    12,702.18x = 129,632,442.68
  5. Step 5: Solve for x
    x = 129,632,442.68/12,702.18
  6. Step 6: Final answer
    x = 10,205.53

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Why These Related Problems?

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