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Finding the Fourth Proportional to 25,542.84, 38,314.26 and 8,014.02

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Solution

The fourth proportional to 25,542.84, 38,314.26 and 8,014.02 is: 12,021.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,542.84 : 38,314.26 = 8,014.02 : x
  2. Step 2: Convert to fraction form
    25,542.84/38,314.26 = 8,014.02/x
  3. Step 3: Cross multiply
    25,542.84x = 38,314.26 × 8,014.02
  4. Step 4: Simplify right side
    25,542.84x = 307,051,245.93
  5. Step 5: Solve for x
    x = 307,051,245.93/25,542.84
  6. Step 6: Final answer
    x = 12,021.03

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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.