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Finding the Fourth Proportional to 25,407.65, 38,122.41 and 12,269.86

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Solution

The fourth proportional to 25,407.65, 38,122.41 and 12,269.86 is: 18,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,407.65 : 38,122.41 = 12,269.86 : x
  2. Step 2: Convert to fraction form
    25,407.65/38,122.41 = 12,269.86/x
  3. Step 3: Cross multiply
    25,407.65x = 38,122.41 × 12,269.86
  4. Step 4: Simplify right side
    25,407.65x = 467,756,633.56
  5. Step 5: Solve for x
    x = 467,756,633.56/25,407.65
  6. Step 6: Final answer
    x = 18,410.07

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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.