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Finding the Fourth Proportional to 24,511.83, 36,761.67 and 6,981.81

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Solution

The fourth proportional to 24,511.83, 36,761.67 and 6,981.81 is: 10,470.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.83 : 36,761.67 = 6,981.81 : x
  2. Step 2: Convert to fraction form
    24,511.83/36,761.67 = 6,981.81/x
  3. Step 3: Cross multiply
    24,511.83x = 36,761.67 × 6,981.81
  4. Step 4: Simplify right side
    24,511.83x = 256,662,995.22
  5. Step 5: Solve for x
    x = 256,662,995.22/24,511.83
  6. Step 6: Final answer
    x = 10,470.98

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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.