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Finding the Fourth Proportional to 22,438.84, 33,661.52 and 6,854.44

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Solution

The fourth proportional to 22,438.84, 33,661.52 and 6,854.44 is: 10,282.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.84 : 33,661.52 = 6,854.44 : x
  2. Step 2: Convert to fraction form
    22,438.84/33,661.52 = 6,854.44/x
  3. Step 3: Cross multiply
    22,438.84x = 33,661.52 × 6,854.44
  4. Step 4: Simplify right side
    22,438.84x = 230,730,869.15
  5. Step 5: Solve for x
    x = 230,730,869.15/22,438.84
  6. Step 6: Final answer
    x = 10,282.66

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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.