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Finding the Fourth Proportional to 21,882.38, 30,195.88 and 12,319.20

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Solution

The fourth proportional to 21,882.38, 30,195.88 and 12,319.20 is: 16,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882.38 : 30,195.88 = 12,319.20 : x
  2. Step 2: Convert to fraction form
    21,882.38/30,195.88 = 12,319.20/x
  3. Step 3: Cross multiply
    21,882.38x = 30,195.88 × 12,319.20
  4. Step 4: Simplify right side
    21,882.38x = 371,989,054.10
  5. Step 5: Solve for x
    x = 371,989,054.10/21,882.38
  6. Step 6: Final answer
    x = 16,999.48

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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.