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Finding the Fourth Proportional to 22,882.09, 34,324.35 and 7,298.50

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Solution

The fourth proportional to 22,882.09, 34,324.35 and 7,298.50 is: 10,948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.09 : 34,324.35 = 7,298.50 : x
  2. Step 2: Convert to fraction form
    22,882.09/34,324.35 = 7,298.50/x
  3. Step 3: Cross multiply
    22,882.09x = 34,324.35 × 7,298.50
  4. Step 4: Simplify right side
    22,882.09x = 250,516,268.48
  5. Step 5: Solve for x
    x = 250,516,268.48/22,882.09
  6. Step 6: Final answer
    x = 10,948.14

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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.