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Finding the Fourth Proportional to 22,672.44, 34,011.63 and 7,882.47

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Solution

The fourth proportional to 22,672.44, 34,011.63 and 7,882.47 is: 11,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,672.44 : 34,011.63 = 7,882.47 : x
  2. Step 2: Convert to fraction form
    22,672.44/34,011.63 = 7,882.47/x
  3. Step 3: Cross multiply
    22,672.44x = 34,011.63 × 7,882.47
  4. Step 4: Simplify right side
    22,672.44x = 268,095,653.13
  5. Step 5: Solve for x
    x = 268,095,653.13/22,672.44
  6. Step 6: Final answer
    x = 11,824.74

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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.