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Finding the Fourth Proportional to 24,650.86, 36,978.34 and 8,010.52

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Solution

The fourth proportional to 24,650.86, 36,978.34 and 8,010.52 is: 12,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650.86 : 36,978.34 = 8,010.52 : x
  2. Step 2: Convert to fraction form
    24,650.86/36,978.34 = 8,010.52/x
  3. Step 3: Cross multiply
    24,650.86x = 36,978.34 × 8,010.52
  4. Step 4: Simplify right side
    24,650.86x = 296,215,732.14
  5. Step 5: Solve for x
    x = 296,215,732.14/24,650.86
  6. Step 6: Final answer
    x = 12,016.45

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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.