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Finding the Fourth Proportional to 22,876.88, 34,313.40 and 7,294.16

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Solution

The fourth proportional to 22,876.88, 34,313.40 and 7,294.16 is: 10,940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,876.88 : 34,313.40 = 7,294.16 : x
  2. Step 2: Convert to fraction form
    22,876.88/34,313.40 = 7,294.16/x
  3. Step 3: Cross multiply
    22,876.88x = 34,313.40 × 7,294.16
  4. Step 4: Simplify right side
    22,876.88x = 250,287,429.74
  5. Step 5: Solve for x
    x = 250,287,429.74/22,876.88
  6. Step 6: Final answer
    x = 10,940.63

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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.