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Finding the Fourth Proportional to 23,092.42, 31,866.91 and 13,020.78

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Solution

The fourth proportional to 23,092.42, 31,866.91 and 13,020.78 is: 17,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,092.42 : 31,866.91 = 13,020.78 : x
  2. Step 2: Convert to fraction form
    23,092.42/31,866.91 = 13,020.78/x
  3. Step 3: Cross multiply
    23,092.42x = 31,866.91 × 13,020.78
  4. Step 4: Simplify right side
    23,092.42x = 414,932,024.39
  5. Step 5: Solve for x
    x = 414,932,024.39/23,092.42
  6. Step 6: Final answer
    x = 17,968.32

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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.