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Finding the Fourth Proportional to 25,204.80, 37,812.68 and 7,674.18

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Solution

The fourth proportional to 25,204.80, 37,812.68 and 7,674.18 is: 11,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,204.80 : 37,812.68 = 7,674.18 : x
  2. Step 2: Convert to fraction form
    25,204.80/37,812.68 = 7,674.18/x
  3. Step 3: Cross multiply
    25,204.80x = 37,812.68 × 7,674.18
  4. Step 4: Simplify right side
    25,204.80x = 290,181,161.21
  5. Step 5: Solve for x
    x = 290,181,161.21/25,204.80
  6. Step 6: Final answer
    x = 11,512.93

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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.