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Finding the Fourth Proportional to 23,102.74, 31,881.45 and 13,034.42

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Solution

The fourth proportional to 23,102.74, 31,881.45 and 13,034.42 is: 17,987.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.74 : 31,881.45 = 13,034.42 : x
  2. Step 2: Convert to fraction form
    23,102.74/31,881.45 = 13,034.42/x
  3. Step 3: Cross multiply
    23,102.74x = 31,881.45 × 13,034.42
  4. Step 4: Simplify right side
    23,102.74x = 415,556,218.54
  5. Step 5: Solve for x
    x = 415,556,218.54/23,102.74
  6. Step 6: Final answer
    x = 17,987.31

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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.