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Finding the Fourth Proportional to 22,765.13, 34,147.70 and 6,349.13

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Solution

The fourth proportional to 22,765.13, 34,147.70 and 6,349.13 is: 9,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.13 : 34,147.70 = 6,349.13 : x
  2. Step 2: Convert to fraction form
    22,765.13/34,147.70 = 6,349.13/x
  3. Step 3: Cross multiply
    22,765.13x = 34,147.70 × 6,349.13
  4. Step 4: Simplify right side
    22,765.13x = 216,808,186.50
  5. Step 5: Solve for x
    x = 216,808,186.50/22,765.13
  6. Step 6: Final answer
    x = 9,523.70

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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.