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Finding the Fourth Proportional to 24,143.86, 36,206.87 and 8,344.86

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Solution

The fourth proportional to 24,143.86, 36,206.87 and 8,344.86 is: 12,514.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,143.86 : 36,206.87 = 8,344.86 : x
  2. Step 2: Convert to fraction form
    24,143.86/36,206.87 = 8,344.86/x
  3. Step 3: Cross multiply
    24,143.86x = 36,206.87 × 8,344.86
  4. Step 4: Simplify right side
    24,143.86x = 302,141,080.15
  5. Step 5: Solve for x
    x = 302,141,080.15/24,143.86
  6. Step 6: Final answer
    x = 12,514.20

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