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Finding the Fourth Proportional to 22,506.78, 33,760.16 and 7,715.82

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Solution

The fourth proportional to 22,506.78, 33,760.16 and 7,715.82 is: 11,573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.78 : 33,760.16 = 7,715.82 : x
  2. Step 2: Convert to fraction form
    22,506.78/33,760.16 = 7,715.82/x
  3. Step 3: Cross multiply
    22,506.78x = 33,760.16 × 7,715.82
  4. Step 4: Simplify right side
    22,506.78x = 260,487,279.15
  5. Step 5: Solve for x
    x = 260,487,279.15/22,506.78
  6. Step 6: Final answer
    x = 11,573.72

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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.