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Finding the Fourth Proportional to 22,506.43, 33,756.18 and 7,711.96

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Solution

The fourth proportional to 22,506.43, 33,756.18 and 7,711.96 is: 11,566.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.43 : 33,756.18 = 7,711.96 : x
  2. Step 2: Convert to fraction form
    22,506.43/33,756.18 = 7,711.96/x
  3. Step 3: Cross multiply
    22,506.43x = 33,756.18 × 7,711.96
  4. Step 4: Simplify right side
    22,506.43x = 260,326,309.91
  5. Step 5: Solve for x
    x = 260,326,309.91/22,506.43
  6. Step 6: Final answer
    x = 11,566.75

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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.