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Finding the Fourth Proportional to 17,640.46, 24,344.02 and 9,682.52

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Solution

The fourth proportional to 17,640.46, 24,344.02 and 9,682.52 is: 13,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,640.46 : 24,344.02 = 9,682.52 : x
  2. Step 2: Convert to fraction form
    17,640.46/24,344.02 = 9,682.52/x
  3. Step 3: Cross multiply
    17,640.46x = 24,344.02 × 9,682.52
  4. Step 4: Simplify right side
    17,640.46x = 235,711,460.53
  5. Step 5: Solve for x
    x = 235,711,460.53/17,640.46
  6. Step 6: Final answer
    x = 13,361.98

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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.