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Finding the Fourth Proportional to 22,420.28, 30,938.79 and 12,348.38

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Solution

The fourth proportional to 22,420.28, 30,938.79 and 12,348.38 is: 17,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,420.28 : 30,938.79 = 12,348.38 : x
  2. Step 2: Convert to fraction form
    22,420.28/30,938.79 = 12,348.38/x
  3. Step 3: Cross multiply
    22,420.28x = 30,938.79 × 12,348.38
  4. Step 4: Simplify right side
    22,420.28x = 382,043,935.66
  5. Step 5: Solve for x
    x = 382,043,935.66/22,420.28
  6. Step 6: Final answer
    x = 17,040.11

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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.