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Finding the Fourth Proportional to 22,331.28, 30,810.86 and 14,378.12

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Solution

The fourth proportional to 22,331.28, 30,810.86 and 14,378.12 is: 19,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,331.28 : 30,810.86 = 14,378.12 : x
  2. Step 2: Convert to fraction form
    22,331.28/30,810.86 = 14,378.12/x
  3. Step 3: Cross multiply
    22,331.28x = 30,810.86 × 14,378.12
  4. Step 4: Simplify right side
    22,331.28x = 443,002,242.38
  5. Step 5: Solve for x
    x = 443,002,242.38/22,331.28
  6. Step 6: Final answer
    x = 19,837.75

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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.