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Finding the Fourth Proportional to 22,301.87, 33,454.35 and 6,506.65

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Solution

The fourth proportional to 22,301.87, 33,454.35 and 6,506.65 is: 9,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,301.87 : 33,454.35 = 6,506.65 : x
  2. Step 2: Convert to fraction form
    22,301.87/33,454.35 = 6,506.65/x
  3. Step 3: Cross multiply
    22,301.87x = 33,454.35 × 6,506.65
  4. Step 4: Simplify right side
    22,301.87x = 217,675,763.85
  5. Step 5: Solve for x
    x = 217,675,763.85/22,301.87
  6. Step 6: Final answer
    x = 9,760.43

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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.