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Finding the Fourth Proportional to 23,714.98, 35,578.85 and 7,074.95

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Solution

The fourth proportional to 23,714.98, 35,578.85 and 7,074.95 is: 10,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,714.98 : 35,578.85 = 7,074.95 : x
  2. Step 2: Convert to fraction form
    23,714.98/35,578.85 = 7,074.95/x
  3. Step 3: Cross multiply
    23,714.98x = 35,578.85 × 7,074.95
  4. Step 4: Simplify right side
    23,714.98x = 251,718,371.54
  5. Step 5: Solve for x
    x = 251,718,371.54/23,714.98
  6. Step 6: Final answer
    x = 10,614.32

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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.