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Finding the Fourth Proportional to 25,640.08, 38,464.80 and 8,114.80

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Solution

The fourth proportional to 25,640.08, 38,464.80 and 8,114.80 is: 12,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,640.08 : 38,464.80 = 8,114.80 : x
  2. Step 2: Convert to fraction form
    25,640.08/38,464.80 = 8,114.80/x
  3. Step 3: Cross multiply
    25,640.08x = 38,464.80 × 8,114.80
  4. Step 4: Simplify right side
    25,640.08x = 312,134,159.04
  5. Step 5: Solve for x
    x = 312,134,159.04/25,640.08
  6. Step 6: Final answer
    x = 12,173.68

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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.