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Finding the Fourth Proportional to 25,828, 35,638.16 and 15,216.80

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Solution

The fourth proportional to 25,828, 35,638.16 and 15,216.80 is: 20,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,828 : 35,638.16 = 15,216.80 : x
  2. Step 2: Convert to fraction form
    25,828/35,638.16 = 15,216.80/x
  3. Step 3: Cross multiply
    25,828x = 35,638.16 × 15,216.80
  4. Step 4: Simplify right side
    25,828x = 542,298,753.09
  5. Step 5: Solve for x
    x = 542,298,753.09/25,828
  6. Step 6: Final answer
    x = 20,996.54

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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.