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Finding the Fourth Proportional to 22,368.64, 33,540.54 and 9,229.90

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Solution

The fourth proportional to 22,368.64, 33,540.54 and 9,229.90 is: 13,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,368.64 : 33,540.54 = 9,229.90 : x
  2. Step 2: Convert to fraction form
    22,368.64/33,540.54 = 9,229.90/x
  3. Step 3: Cross multiply
    22,368.64x = 33,540.54 × 9,229.90
  4. Step 4: Simplify right side
    22,368.64x = 309,575,830.15
  5. Step 5: Solve for x
    x = 309,575,830.15/22,368.64
  6. Step 6: Final answer
    x = 13,839.73

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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.