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Finding the Fourth Proportional to 23,111.62, 31,894.04 and 13,042.20

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Solution

The fourth proportional to 23,111.62, 31,894.04 and 13,042.20 is: 17,998.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,111.62 : 31,894.04 = 13,042.20 : x
  2. Step 2: Convert to fraction form
    23,111.62/31,894.04 = 13,042.20/x
  3. Step 3: Cross multiply
    23,111.62x = 31,894.04 × 13,042.20
  4. Step 4: Simplify right side
    23,111.62x = 415,968,448.49
  5. Step 5: Solve for x
    x = 415,968,448.49/23,111.62
  6. Step 6: Final answer
    x = 17,998.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.