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Finding the Fourth Proportional to 15,702.12, 21,659.31 and 9,324.39

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Solution

The fourth proportional to 15,702.12, 21,659.31 and 9,324.39 is: 12,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.12 : 21,659.31 = 9,324.39 : x
  2. Step 2: Convert to fraction form
    15,702.12/21,659.31 = 9,324.39/x
  3. Step 3: Cross multiply
    15,702.12x = 21,659.31 × 9,324.39
  4. Step 4: Simplify right side
    15,702.12x = 201,959,853.57
  5. Step 5: Solve for x
    x = 201,959,853.57/15,702.12
  6. Step 6: Final answer
    x = 12,861.95

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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.