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Finding the Fourth Proportional to 22,987.42, 34,480.42 and 6,348.46

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Solution

The fourth proportional to 22,987.42, 34,480.42 and 6,348.46 is: 9,522.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,987.42 : 34,480.42 = 6,348.46 : x
  2. Step 2: Convert to fraction form
    22,987.42/34,480.42 = 6,348.46/x
  3. Step 3: Cross multiply
    22,987.42x = 34,480.42 × 6,348.46
  4. Step 4: Simplify right side
    22,987.42x = 218,897,567.15
  5. Step 5: Solve for x
    x = 218,897,567.15/22,987.42
  6. Step 6: Final answer
    x = 9,522.49

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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.