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Finding the Fourth Proportional to 24,002.52, 36,006.72 and 8,209.12

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Solution

The fourth proportional to 24,002.52, 36,006.72 and 8,209.12 is: 12,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,002.52 : 36,006.72 = 8,209.12 : x
  2. Step 2: Convert to fraction form
    24,002.52/36,006.72 = 8,209.12/x
  3. Step 3: Cross multiply
    24,002.52x = 36,006.72 × 8,209.12
  4. Step 4: Simplify right side
    24,002.52x = 295,583,485.29
  5. Step 5: Solve for x
    x = 295,583,485.29/24,002.52
  6. Step 6: Final answer
    x = 12,314.69

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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.