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Finding the Fourth Proportional to 22,280, 33,394.08 and 9,116.44

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Solution

The fourth proportional to 22,280, 33,394.08 and 9,116.44 is: 13,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,280 : 33,394.08 = 9,116.44 : x
  2. Step 2: Convert to fraction form
    22,280/33,394.08 = 9,116.44/x
  3. Step 3: Cross multiply
    22,280x = 33,394.08 × 9,116.44
  4. Step 4: Simplify right side
    22,280x = 304,435,126.68
  5. Step 5: Solve for x
    x = 304,435,126.68/22,280
  6. Step 6: Final answer
    x = 13,664.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.