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Finding the Fourth Proportional to 25,076.25, 37,616.81 and 8,440.47

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Solution

The fourth proportional to 25,076.25, 37,616.81 and 8,440.47 is: 12,661.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,076.25 : 37,616.81 = 8,440.47 : x
  2. Step 2: Convert to fraction form
    25,076.25/37,616.81 = 8,440.47/x
  3. Step 3: Cross multiply
    25,076.25x = 37,616.81 × 8,440.47
  4. Step 4: Simplify right side
    25,076.25x = 317,503,514.10
  5. Step 5: Solve for x
    x = 317,503,514.10/25,076.25
  6. Step 6: Final answer
    x = 12,661.52

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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.