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Finding the Fourth Proportional to 22,304.97, 33,461.10 and 9,153.81

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Solution

The fourth proportional to 22,304.97, 33,461.10 and 9,153.81 is: 13,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.97 : 33,461.10 = 9,153.81 : x
  2. Step 2: Convert to fraction form
    22,304.97/33,461.10 = 9,153.81/x
  3. Step 3: Cross multiply
    22,304.97x = 33,461.10 × 9,153.81
  4. Step 4: Simplify right side
    22,304.97x = 306,296,551.79
  5. Step 5: Solve for x
    x = 306,296,551.79/22,304.97
  6. Step 6: Final answer
    x = 13,732.21

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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.