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Finding the Fourth Proportional to 24,516.76, 36,770.42 and 9,523.86

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Solution

The fourth proportional to 24,516.76, 36,770.42 and 9,523.86 is: 14,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516.76 : 36,770.42 = 9,523.86 : x
  2. Step 2: Convert to fraction form
    24,516.76/36,770.42 = 9,523.86/x
  3. Step 3: Cross multiply
    24,516.76x = 36,770.42 × 9,523.86
  4. Step 4: Simplify right side
    24,516.76x = 350,196,332.22
  5. Step 5: Solve for x
    x = 350,196,332.22/24,516.76
  6. Step 6: Final answer
    x = 14,283.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.