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Finding the Fourth Proportional to 18,147.10, 27,223.08 and 6,460.42

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Solution

The fourth proportional to 18,147.10, 27,223.08 and 6,460.42 is: 9,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,147.10 : 27,223.08 = 6,460.42 : x
  2. Step 2: Convert to fraction form
    18,147.10/27,223.08 = 6,460.42/x
  3. Step 3: Cross multiply
    18,147.10x = 27,223.08 × 6,460.42
  4. Step 4: Simplify right side
    18,147.10x = 175,872,530.49
  5. Step 5: Solve for x
    x = 175,872,530.49/18,147.10
  6. Step 6: Final answer
    x = 9,691.50

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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.