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Finding the Fourth Proportional to 24,763.86, 37,147.01 and 8,117.15

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Solution

The fourth proportional to 24,763.86, 37,147.01 and 8,117.15 is: 12,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,763.86 : 37,147.01 = 8,117.15 : x
  2. Step 2: Convert to fraction form
    24,763.86/37,147.01 = 8,117.15/x
  3. Step 3: Cross multiply
    24,763.86x = 37,147.01 × 8,117.15
  4. Step 4: Simplify right side
    24,763.86x = 301,527,625.90
  5. Step 5: Solve for x
    x = 301,527,625.90/24,763.86
  6. Step 6: Final answer
    x = 12,176.12

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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.