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Finding the Fourth Proportional to 25,679.12, 38,518.67 and 9,671.68

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Solution

The fourth proportional to 25,679.12, 38,518.67 and 9,671.68 is: 14,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,679.12 : 38,518.67 = 9,671.68 : x
  2. Step 2: Convert to fraction form
    25,679.12/38,518.67 = 9,671.68/x
  3. Step 3: Cross multiply
    25,679.12x = 38,518.67 × 9,671.68
  4. Step 4: Simplify right side
    25,679.12x = 372,540,178.15
  5. Step 5: Solve for x
    x = 372,540,178.15/25,679.12
  6. Step 6: Final answer
    x = 14,507.51

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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.