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Finding the Fourth Proportional to 22,481.12, 33,726.48 and 8,630

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Solution

The fourth proportional to 22,481.12, 33,726.48 and 8,630 is: 12,946.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,481.12 : 33,726.48 = 8,630 : x
  2. Step 2: Convert to fraction form
    22,481.12/33,726.48 = 8,630/x
  3. Step 3: Cross multiply
    22,481.12x = 33,726.48 × 8,630
  4. Step 4: Simplify right side
    22,481.12x = 291,059,522.40
  5. Step 5: Solve for x
    x = 291,059,522.40/22,481.12
  6. Step 6: Final answer
    x = 12,946.84

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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.