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Finding the Fourth Proportional to 22,439.72, 33,658.35 and 6,856.13

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Solution

The fourth proportional to 22,439.72, 33,658.35 and 6,856.13 is: 10,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,439.72 : 33,658.35 = 6,856.13 : x
  2. Step 2: Convert to fraction form
    22,439.72/33,658.35 = 6,856.13/x
  3. Step 3: Cross multiply
    22,439.72x = 33,658.35 × 6,856.13
  4. Step 4: Simplify right side
    22,439.72x = 230,765,854.89
  5. Step 5: Solve for x
    x = 230,765,854.89/22,439.72
  6. Step 6: Final answer
    x = 10,283.81

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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.