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Finding the Fourth Proportional to 16,847.16, 23,249.74 and 9,395

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Solution

The fourth proportional to 16,847.16, 23,249.74 and 9,395 is: 12,965.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,847.16 : 23,249.74 = 9,395 : x
  2. Step 2: Convert to fraction form
    16,847.16/23,249.74 = 9,395/x
  3. Step 3: Cross multiply
    16,847.16x = 23,249.74 × 9,395
  4. Step 4: Simplify right side
    16,847.16x = 218,431,307.30
  5. Step 5: Solve for x
    x = 218,431,307.30/16,847.16
  6. Step 6: Final answer
    x = 12,965.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.