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Finding the Fourth Proportional to 23,878.62, 32,954.55 and 13,270.38

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Solution

The fourth proportional to 23,878.62, 32,954.55 and 13,270.38 is: 18,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.62 : 32,954.55 = 13,270.38 : x
  2. Step 2: Convert to fraction form
    23,878.62/32,954.55 = 13,270.38/x
  3. Step 3: Cross multiply
    23,878.62x = 32,954.55 × 13,270.38
  4. Step 4: Simplify right side
    23,878.62x = 437,319,401.23
  5. Step 5: Solve for x
    x = 437,319,401.23/23,878.62
  6. Step 6: Final answer
    x = 18,314.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.