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Finding the Fourth Proportional to 25,704.96, 38,563.60 and 8,174.80

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Solution

The fourth proportional to 25,704.96, 38,563.60 and 8,174.80 is: 12,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,704.96 : 38,563.60 = 8,174.80 : x
  2. Step 2: Convert to fraction form
    25,704.96/38,563.60 = 8,174.80/x
  3. Step 3: Cross multiply
    25,704.96x = 38,563.60 × 8,174.80
  4. Step 4: Simplify right side
    25,704.96x = 315,249,717.28
  5. Step 5: Solve for x
    x = 315,249,717.28/25,704.96
  6. Step 6: Final answer
    x = 12,264.16

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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.