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Finding the Fourth Proportional to 22,431.55, 33,648.23 and 8,390.14

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Solution

The fourth proportional to 22,431.55, 33,648.23 and 8,390.14 is: 12,585.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.55 : 33,648.23 = 8,390.14 : x
  2. Step 2: Convert to fraction form
    22,431.55/33,648.23 = 8,390.14/x
  3. Step 3: Cross multiply
    22,431.55x = 33,648.23 × 8,390.14
  4. Step 4: Simplify right side
    22,431.55x = 282,313,318.50
  5. Step 5: Solve for x
    x = 282,313,318.50/22,431.55
  6. Step 6: Final answer
    x = 12,585.55

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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.