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Finding the Fourth Proportional to 24,228.71, 36,340.77 and 8,429.96

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Solution

The fourth proportional to 24,228.71, 36,340.77 and 8,429.96 is: 12,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,228.71 : 36,340.77 = 8,429.96 : x
  2. Step 2: Convert to fraction form
    24,228.71/36,340.77 = 8,429.96/x
  3. Step 3: Cross multiply
    24,228.71x = 36,340.77 × 8,429.96
  4. Step 4: Simplify right side
    24,228.71x = 306,351,055.77
  5. Step 5: Solve for x
    x = 306,351,055.77/24,228.71
  6. Step 6: Final answer
    x = 12,644.14

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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.