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Finding the Fourth Proportional to 24,243.47, 36,366.74 and 8,447.86

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Solution

The fourth proportional to 24,243.47, 36,366.74 and 8,447.86 is: 12,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,243.47 : 36,366.74 = 8,447.86 : x
  2. Step 2: Convert to fraction form
    24,243.47/36,366.74 = 8,447.86/x
  3. Step 3: Cross multiply
    24,243.47x = 36,366.74 × 8,447.86
  4. Step 4: Simplify right side
    24,243.47x = 307,220,995.02
  5. Step 5: Solve for x
    x = 307,220,995.02/24,243.47
  6. Step 6: Final answer
    x = 12,672.32

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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.