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Finding the Fourth Proportional to 22,964.78, 34,446.36 and 7,382

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Solution

The fourth proportional to 22,964.78, 34,446.36 and 7,382 is: 11,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.78 : 34,446.36 = 7,382 : x
  2. Step 2: Convert to fraction form
    22,964.78/34,446.36 = 7,382/x
  3. Step 3: Cross multiply
    22,964.78x = 34,446.36 × 7,382
  4. Step 4: Simplify right side
    22,964.78x = 254,283,029.52
  5. Step 5: Solve for x
    x = 254,283,029.52/22,964.78
  6. Step 6: Final answer
    x = 11,072.74

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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.