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Finding the Fourth Proportional to 24,017.31, 33,142.23 and 13,945.23

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Solution

The fourth proportional to 24,017.31, 33,142.23 and 13,945.23 is: 19,243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017.31 : 33,142.23 = 13,945.23 : x
  2. Step 2: Convert to fraction form
    24,017.31/33,142.23 = 13,945.23/x
  3. Step 3: Cross multiply
    24,017.31x = 33,142.23 × 13,945.23
  4. Step 4: Simplify right side
    24,017.31x = 462,176,020.06
  5. Step 5: Solve for x
    x = 462,176,020.06/24,017.31
  6. Step 6: Final answer
    x = 19,243.45

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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.