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Finding the Fourth Proportional to 22,880.52, 34,313.49 and 7,294.50

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Solution

The fourth proportional to 22,880.52, 34,313.49 and 7,294.50 is: 10,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,880.52 : 34,313.49 = 7,294.50 : x
  2. Step 2: Convert to fraction form
    22,880.52/34,313.49 = 7,294.50/x
  3. Step 3: Cross multiply
    22,880.52x = 34,313.49 × 7,294.50
  4. Step 4: Simplify right side
    22,880.52x = 250,299,752.81
  5. Step 5: Solve for x
    x = 250,299,752.81/22,880.52
  6. Step 6: Final answer
    x = 10,939.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.