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Finding the Fourth Proportional to 16,297.44, 24,420.12 and 10,449.20

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Solution

The fourth proportional to 16,297.44, 24,420.12 and 10,449.20 is: 15,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.44 : 24,420.12 = 10,449.20 : x
  2. Step 2: Convert to fraction form
    16,297.44/24,420.12 = 10,449.20/x
  3. Step 3: Cross multiply
    16,297.44x = 24,420.12 × 10,449.20
  4. Step 4: Simplify right side
    16,297.44x = 255,170,717.90
  5. Step 5: Solve for x
    x = 255,170,717.90/16,297.44
  6. Step 6: Final answer
    x = 15,657.10

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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.