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Finding the Fourth Proportional to 24,651.11, 36,978.71 and 8,010.77

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Solution

The fourth proportional to 24,651.11, 36,978.71 and 8,010.77 is: 12,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,651.11 : 36,978.71 = 8,010.77 : x
  2. Step 2: Convert to fraction form
    24,651.11/36,978.71 = 8,010.77/x
  3. Step 3: Cross multiply
    24,651.11x = 36,978.71 × 8,010.77
  4. Step 4: Simplify right side
    24,651.11x = 296,227,715.76
  5. Step 5: Solve for x
    x = 296,227,715.76/24,651.11
  6. Step 6: Final answer
    x = 12,016.81

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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.