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Finding the Fourth Proportional to 17,640.92, 24,344.98 and 9,683.66

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Solution

The fourth proportional to 17,640.92, 24,344.98 and 9,683.66 is: 13,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.92 : 24,344.98 = 9,683.66 : x
  2. Step 2: Convert to fraction form
    17,640.92/24,344.98 = 9,683.66/x
  3. Step 3: Cross multiply
    17,640.92x = 24,344.98 × 9,683.66
  4. Step 4: Simplify right side
    17,640.92x = 235,748,509.03
  5. Step 5: Solve for x
    x = 235,748,509.03/17,640.92
  6. Step 6: Final answer
    x = 13,363.73

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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.