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Finding the Fourth Proportional to 25,406.65, 38,120.91 and 12,268.86

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Solution

The fourth proportional to 25,406.65, 38,120.91 and 12,268.86 is: 18,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,406.65 : 38,120.91 = 12,268.86 : x
  2. Step 2: Convert to fraction form
    25,406.65/38,120.91 = 12,268.86/x
  3. Step 3: Cross multiply
    25,406.65x = 38,120.91 × 12,268.86
  4. Step 4: Simplify right side
    25,406.65x = 467,700,107.86
  5. Step 5: Solve for x
    x = 467,700,107.86/25,406.65
  6. Step 6: Final answer
    x = 18,408.57

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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.