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Finding the Fourth Proportional to 22,232.14, 33,348.27 and 9,084.51

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Solution

The fourth proportional to 22,232.14, 33,348.27 and 9,084.51 is: 13,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.14 : 33,348.27 = 9,084.51 : x
  2. Step 2: Convert to fraction form
    22,232.14/33,348.27 = 9,084.51/x
  3. Step 3: Cross multiply
    22,232.14x = 33,348.27 × 9,084.51
  4. Step 4: Simplify right side
    22,232.14x = 302,952,752.96
  5. Step 5: Solve for x
    x = 302,952,752.96/22,232.14
  6. Step 6: Final answer
    x = 13,626.79

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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.