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Finding the Fourth Proportional to 22,257.46, 33,394.83 and 9,116.02

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Solution

The fourth proportional to 22,257.46, 33,394.83 and 9,116.02 is: 13,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257.46 : 33,394.83 = 9,116.02 : x
  2. Step 2: Convert to fraction form
    22,257.46/33,394.83 = 9,116.02/x
  3. Step 3: Cross multiply
    22,257.46x = 33,394.83 × 9,116.02
  4. Step 4: Simplify right side
    22,257.46x = 304,427,938.18
  5. Step 5: Solve for x
    x = 304,427,938.18/22,257.46
  6. Step 6: Final answer
    x = 13,677.57

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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.