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Finding the Fourth Proportional to 22,446.38, 30,978.80 and 12,889.25

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Solution

The fourth proportional to 22,446.38, 30,978.80 and 12,889.25 is: 17,788.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,446.38 : 30,978.80 = 12,889.25 : x
  2. Step 2: Convert to fraction form
    22,446.38/30,978.80 = 12,889.25/x
  3. Step 3: Cross multiply
    22,446.38x = 30,978.80 × 12,889.25
  4. Step 4: Simplify right side
    22,446.38x = 399,293,607.57
  5. Step 5: Solve for x
    x = 399,293,607.57/22,446.38
  6. Step 6: Final answer
    x = 17,788.78

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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.