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Finding the Fourth Proportional to 25,344.85, 37,993.75 and 12,024.10

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Solution

The fourth proportional to 25,344.85, 37,993.75 and 12,024.10 is: 18,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,344.85 : 37,993.75 = 12,024.10 : x
  2. Step 2: Convert to fraction form
    25,344.85/37,993.75 = 12,024.10/x
  3. Step 3: Cross multiply
    25,344.85x = 37,993.75 × 12,024.10
  4. Step 4: Simplify right side
    25,344.85x = 456,840,649.38
  5. Step 5: Solve for x
    x = 456,840,649.38/25,344.85
  6. Step 6: Final answer
    x = 18,024.99

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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.