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Finding the Fourth Proportional to 22,882.50, 34,322.61 and 7,298.10

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Solution

The fourth proportional to 22,882.50, 34,322.61 and 7,298.10 is: 10,946.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.50 : 34,322.61 = 7,298.10 : x
  2. Step 2: Convert to fraction form
    22,882.50/34,322.61 = 7,298.10/x
  3. Step 3: Cross multiply
    22,882.50x = 34,322.61 × 7,298.10
  4. Step 4: Simplify right side
    22,882.50x = 250,489,840.04
  5. Step 5: Solve for x
    x = 250,489,840.04/22,882.50
  6. Step 6: Final answer
    x = 10,946.79

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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.