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Finding the Fourth Proportional to 23,796.38, 32,838.19 and 13,186.19

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Solution

The fourth proportional to 23,796.38, 32,838.19 and 13,186.19 is: 18,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796.38 : 32,838.19 = 13,186.19 : x
  2. Step 2: Convert to fraction form
    23,796.38/32,838.19 = 13,186.19/x
  3. Step 3: Cross multiply
    23,796.38x = 32,838.19 × 13,186.19
  4. Step 4: Simplify right side
    23,796.38x = 433,010,612.60
  5. Step 5: Solve for x
    x = 433,010,612.60/23,796.38
  6. Step 6: Final answer
    x = 18,196.49

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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.