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Finding the Fourth Proportional to 23,024.61, 31,749.03 and 20,013.84

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Solution

The fourth proportional to 23,024.61, 31,749.03 and 20,013.84 is: 27,597.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024.61 : 31,749.03 = 20,013.84 : x
  2. Step 2: Convert to fraction form
    23,024.61/31,749.03 = 20,013.84/x
  3. Step 3: Cross multiply
    23,024.61x = 31,749.03 × 20,013.84
  4. Step 4: Simplify right side
    23,024.61x = 635,420,006.58
  5. Step 5: Solve for x
    x = 635,420,006.58/23,024.61
  6. Step 6: Final answer
    x = 27,597.43

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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.