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Finding the Fourth Proportional to 22,277.68, 33,416.57 and 9,127.69

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Solution

The fourth proportional to 22,277.68, 33,416.57 and 9,127.69 is: 13,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277.68 : 33,416.57 = 9,127.69 : x
  2. Step 2: Convert to fraction form
    22,277.68/33,416.57 = 9,127.69/x
  3. Step 3: Cross multiply
    22,277.68x = 33,416.57 × 9,127.69
  4. Step 4: Simplify right side
    22,277.68x = 305,016,046.18
  5. Step 5: Solve for x
    x = 305,016,046.18/22,277.68
  6. Step 6: Final answer
    x = 13,691.55

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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.