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Finding the Fourth Proportional to 22,236.38, 30,702.24 and 13,750.13

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Solution

The fourth proportional to 22,236.38, 30,702.24 and 13,750.13 is: 18,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,236.38 : 30,702.24 = 13,750.13 : x
  2. Step 2: Convert to fraction form
    22,236.38/30,702.24 = 13,750.13/x
  3. Step 3: Cross multiply
    22,236.38x = 30,702.24 × 13,750.13
  4. Step 4: Simplify right side
    22,236.38x = 422,159,791.29
  5. Step 5: Solve for x
    x = 422,159,791.29/22,236.38
  6. Step 6: Final answer
    x = 18,985.10

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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.