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Finding the Fourth Proportional to 24,764.86, 37,148.51 and 8,118.15

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Solution

The fourth proportional to 24,764.86, 37,148.51 and 8,118.15 is: 12,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,764.86 : 37,148.51 = 8,118.15 : x
  2. Step 2: Convert to fraction form
    24,764.86/37,148.51 = 8,118.15/x
  3. Step 3: Cross multiply
    24,764.86x = 37,148.51 × 8,118.15
  4. Step 4: Simplify right side
    24,764.86x = 301,577,176.46
  5. Step 5: Solve for x
    x = 301,577,176.46/24,764.86
  6. Step 6: Final answer
    x = 12,177.62

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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.