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Finding the Fourth Proportional to 11,363.46, 17,022.51 and 9,027.42

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Solution

The fourth proportional to 11,363.46, 17,022.51 and 9,027.42 is: 13,523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,363.46 : 17,022.51 = 9,027.42 : x
  2. Step 2: Convert to fraction form
    11,363.46/17,022.51 = 9,027.42/x
  3. Step 3: Cross multiply
    11,363.46x = 17,022.51 × 9,027.42
  4. Step 4: Simplify right side
    11,363.46x = 153,669,347.22
  5. Step 5: Solve for x
    x = 153,669,347.22/11,363.46
  6. Step 6: Final answer
    x = 13,523.11

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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.