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Finding the Fourth Proportional to 25,539.44, 38,309.10 and 8,009.24

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Solution

The fourth proportional to 25,539.44, 38,309.10 and 8,009.24 is: 12,013.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,539.44 : 38,309.10 = 8,009.24 : x
  2. Step 2: Convert to fraction form
    25,539.44/38,309.10 = 8,009.24/x
  3. Step 3: Cross multiply
    25,539.44x = 38,309.10 × 8,009.24
  4. Step 4: Simplify right side
    25,539.44x = 306,826,776.08
  5. Step 5: Solve for x
    x = 306,826,776.08/25,539.44
  6. Step 6: Final answer
    x = 12,013.84

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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.