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Finding the Fourth Proportional to 22,882.96, 34,266.12 and 11,165.50

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Solution

The fourth proportional to 22,882.96, 34,266.12 and 11,165.50 is: 16,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,882.96 : 34,266.12 = 11,165.50 : x
  2. Step 2: Convert to fraction form
    22,882.96/34,266.12 = 11,165.50/x
  3. Step 3: Cross multiply
    22,882.96x = 34,266.12 × 11,165.50
  4. Step 4: Simplify right side
    22,882.96x = 382,598,362.86
  5. Step 5: Solve for x
    x = 382,598,362.86/22,882.96
  6. Step 6: Final answer
    x = 16,719.79

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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.