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Finding the Fourth Proportional to 22,881.48, 34,293.96 and 13,512

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Solution

The fourth proportional to 22,881.48, 34,293.96 and 13,512 is: 20,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,881.48 : 34,293.96 = 13,512 : x
  2. Step 2: Convert to fraction form
    22,881.48/34,293.96 = 13,512/x
  3. Step 3: Cross multiply
    22,881.48x = 34,293.96 × 13,512
  4. Step 4: Simplify right side
    22,881.48x = 463,379,987.52
  5. Step 5: Solve for x
    x = 463,379,987.52/22,881.48
  6. Step 6: Final answer
    x = 20,251.31

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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.