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Finding the Fourth Proportional to 23,773.38, 32,806.97 and 13,018.13

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Solution

The fourth proportional to 23,773.38, 32,806.97 and 13,018.13 is: 17,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,773.38 : 32,806.97 = 13,018.13 : x
  2. Step 2: Convert to fraction form
    23,773.38/32,806.97 = 13,018.13/x
  3. Step 3: Cross multiply
    23,773.38x = 32,806.97 × 13,018.13
  4. Step 4: Simplify right side
    23,773.38x = 427,085,343.08
  5. Step 5: Solve for x
    x = 427,085,343.08/23,773.38
  6. Step 6: Final answer
    x = 17,964.86

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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.