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Finding the Fourth Proportional to 22,693, 34,018.75 and 9,546.30

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Solution

The fourth proportional to 22,693, 34,018.75 and 9,546.30 is: 14,310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,693 : 34,018.75 = 9,546.30 : x
  2. Step 2: Convert to fraction form
    22,693/34,018.75 = 9,546.30/x
  3. Step 3: Cross multiply
    22,693x = 34,018.75 × 9,546.30
  4. Step 4: Simplify right side
    22,693x = 324,753,193.13
  5. Step 5: Solve for x
    x = 324,753,193.13/22,693
  6. Step 6: Final answer
    x = 14,310.72

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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.