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Finding the Fourth Proportional to 25,765.44, 38,646.27 and 8,230.56

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Solution

The fourth proportional to 25,765.44, 38,646.27 and 8,230.56 is: 12,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,765.44 : 38,646.27 = 8,230.56 : x
  2. Step 2: Convert to fraction form
    25,765.44/38,646.27 = 8,230.56/x
  3. Step 3: Cross multiply
    25,765.44x = 38,646.27 × 8,230.56
  4. Step 4: Simplify right side
    25,765.44x = 318,080,444.01
  5. Step 5: Solve for x
    x = 318,080,444.01/25,765.44
  6. Step 6: Final answer
    x = 12,345.24

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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.