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Finding the Fourth Proportional to 16,851.14, 25,258.91 and 6,314.27

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Solution

The fourth proportional to 16,851.14, 25,258.91 and 6,314.27 is: 9,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,851.14 : 25,258.91 = 6,314.27 : x
  2. Step 2: Convert to fraction form
    16,851.14/25,258.91 = 6,314.27/x
  3. Step 3: Cross multiply
    16,851.14x = 25,258.91 × 6,314.27
  4. Step 4: Simplify right side
    16,851.14x = 159,491,577.65
  5. Step 5: Solve for x
    x = 159,491,577.65/16,851.14
  6. Step 6: Final answer
    x = 9,464.74

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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.