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Finding the Fourth Proportional to 24,277.68, 36,419.34 and 8,477.82

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Solution

The fourth proportional to 24,277.68, 36,419.34 and 8,477.82 is: 12,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,277.68 : 36,419.34 = 8,477.82 : x
  2. Step 2: Convert to fraction form
    24,277.68/36,419.34 = 8,477.82/x
  3. Step 3: Cross multiply
    24,277.68x = 36,419.34 × 8,477.82
  4. Step 4: Simplify right side
    24,277.68x = 308,756,609.04
  5. Step 5: Solve for x
    x = 308,756,609.04/24,277.68
  6. Step 6: Final answer
    x = 12,717.71

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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.