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Finding the Fourth Proportional to 25,984.86, 35,872.92 and 20,824.26

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Solution

The fourth proportional to 25,984.86, 35,872.92 and 20,824.26 is: 28,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,984.86 : 35,872.92 = 20,824.26 : x
  2. Step 2: Convert to fraction form
    25,984.86/35,872.92 = 20,824.26/x
  3. Step 3: Cross multiply
    25,984.86x = 35,872.92 × 20,824.26
  4. Step 4: Simplify right side
    25,984.86x = 747,027,013.04
  5. Step 5: Solve for x
    x = 747,027,013.04/25,984.86
  6. Step 6: Final answer
    x = 28,748.55

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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.