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Finding the Fourth Proportional to 25,845.96, 38,744.31 and 8,303.47

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Solution

The fourth proportional to 25,845.96, 38,744.31 and 8,303.47 is: 12,447.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,845.96 : 38,744.31 = 8,303.47 : x
  2. Step 2: Convert to fraction form
    25,845.96/38,744.31 = 8,303.47/x
  3. Step 3: Cross multiply
    25,845.96x = 38,744.31 × 8,303.47
  4. Step 4: Simplify right side
    25,845.96x = 321,712,215.76
  5. Step 5: Solve for x
    x = 321,712,215.76/25,845.96
  6. Step 6: Final answer
    x = 12,447.29

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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.