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Finding the Fourth Proportional to 25,046.57, 37,563.76 and 8,402.29

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Solution

The fourth proportional to 25,046.57, 37,563.76 and 8,402.29 is: 12,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,046.57 : 37,563.76 = 8,402.29 : x
  2. Step 2: Convert to fraction form
    25,046.57/37,563.76 = 8,402.29/x
  3. Step 3: Cross multiply
    25,046.57x = 37,563.76 × 8,402.29
  4. Step 4: Simplify right side
    25,046.57x = 315,621,605.01
  5. Step 5: Solve for x
    x = 315,621,605.01/25,046.57
  6. Step 6: Final answer
    x = 12,601.39

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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.