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Finding the Fourth Proportional to 22,109.65, 33,159.34 and 6,314.27

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Solution

The fourth proportional to 22,109.65, 33,159.34 and 6,314.27 is: 9,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,109.65 : 33,159.34 = 6,314.27 : x
  2. Step 2: Convert to fraction form
    22,109.65/33,159.34 = 6,314.27/x
  3. Step 3: Cross multiply
    22,109.65x = 33,159.34 × 6,314.27
  4. Step 4: Simplify right side
    22,109.65x = 209,376,867.88
  5. Step 5: Solve for x
    x = 209,376,867.88/22,109.65
  6. Step 6: Final answer
    x = 9,469.93

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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.