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Finding the Fourth Proportional to 25,114.98, 37,646.11 and 8,469.21

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Solution

The fourth proportional to 25,114.98, 37,646.11 and 8,469.21 is: 12,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114.98 : 37,646.11 = 8,469.21 : x
  2. Step 2: Convert to fraction form
    25,114.98/37,646.11 = 8,469.21/x
  3. Step 3: Cross multiply
    25,114.98x = 37,646.11 × 8,469.21
  4. Step 4: Simplify right side
    25,114.98x = 318,832,811.27
  5. Step 5: Solve for x
    x = 318,832,811.27/25,114.98
  6. Step 6: Final answer
    x = 12,694.93

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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.