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Finding the Fourth Proportional to 22,807, 34,207.24 and 6,168.04

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Solution

The fourth proportional to 22,807, 34,207.24 and 6,168.04 is: 9,251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807 : 34,207.24 = 6,168.04 : x
  2. Step 2: Convert to fraction form
    22,807/34,207.24 = 6,168.04/x
  3. Step 3: Cross multiply
    22,807x = 34,207.24 × 6,168.04
  4. Step 4: Simplify right side
    22,807x = 210,991,624.61
  5. Step 5: Solve for x
    x = 210,991,624.61/22,807
  6. Step 6: Final answer
    x = 9,251.18

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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.