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Finding the Fourth Proportional to 25,748.01, 38,615.04 and 9,105.84

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Solution

The fourth proportional to 25,748.01, 38,615.04 and 9,105.84 is: 13,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,748.01 : 38,615.04 = 9,105.84 : x
  2. Step 2: Convert to fraction form
    25,748.01/38,615.04 = 9,105.84/x
  3. Step 3: Cross multiply
    25,748.01x = 38,615.04 × 9,105.84
  4. Step 4: Simplify right side
    25,748.01x = 351,622,375.83
  5. Step 5: Solve for x
    x = 351,622,375.83/25,748.01
  6. Step 6: Final answer
    x = 13,656.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.