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Finding the Fourth Proportional to 24,177.69, 36,266.79 and 7,310.84

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Solution

The fourth proportional to 24,177.69, 36,266.79 and 7,310.84 is: 10,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177.69 : 36,266.79 = 7,310.84 : x
  2. Step 2: Convert to fraction form
    24,177.69/36,266.79 = 7,310.84/x
  3. Step 3: Cross multiply
    24,177.69x = 36,266.79 × 7,310.84
  4. Step 4: Simplify right side
    24,177.69x = 265,140,517.67
  5. Step 5: Solve for x
    x = 265,140,517.67/24,177.69
  6. Step 6: Final answer
    x = 10,966.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.