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Finding the Fourth Proportional to 25,042.44, 37,578.24 and 9,461.28

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Solution

The fourth proportional to 25,042.44, 37,578.24 and 9,461.28 is: 14,197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,042.44 : 37,578.24 = 9,461.28 : x
  2. Step 2: Convert to fraction form
    25,042.44/37,578.24 = 9,461.28/x
  3. Step 3: Cross multiply
    25,042.44x = 37,578.24 × 9,461.28
  4. Step 4: Simplify right side
    25,042.44x = 355,538,250.55
  5. Step 5: Solve for x
    x = 355,538,250.55/25,042.44
  6. Step 6: Final answer
    x = 14,197.43

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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.