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Finding the Fourth Proportional to 22,674.20, 34,005.63 and 9,536

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Solution

The fourth proportional to 22,674.20, 34,005.63 and 9,536 is: 14,301.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674.20 : 34,005.63 = 9,536 : x
  2. Step 2: Convert to fraction form
    22,674.20/34,005.63 = 9,536/x
  3. Step 3: Cross multiply
    22,674.20x = 34,005.63 × 9,536
  4. Step 4: Simplify right side
    22,674.20x = 324,277,687.68
  5. Step 5: Solve for x
    x = 324,277,687.68/22,674.20
  6. Step 6: Final answer
    x = 14,301.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.