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Finding the Fourth Proportional to 17,702.60, 24,426.76 and 10,147.48

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Solution

The fourth proportional to 17,702.60, 24,426.76 and 10,147.48 is: 14,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.60 : 24,426.76 = 10,147.48 : x
  2. Step 2: Convert to fraction form
    17,702.60/24,426.76 = 10,147.48/x
  3. Step 3: Cross multiply
    17,702.60x = 24,426.76 × 10,147.48
  4. Step 4: Simplify right side
    17,702.60x = 247,870,058.56
  5. Step 5: Solve for x
    x = 247,870,058.56/17,702.60
  6. Step 6: Final answer
    x = 14,001.90

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1.5x scale

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.