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Finding the Fourth Proportional to 16,867.88, 23,280.18 and 16,351.64

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Solution

The fourth proportional to 16,867.88, 23,280.18 and 16,351.64 is: 22,567.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,867.88 : 23,280.18 = 16,351.64 : x
  2. Step 2: Convert to fraction form
    16,867.88/23,280.18 = 16,351.64/x
  3. Step 3: Cross multiply
    16,867.88x = 23,280.18 × 16,351.64
  4. Step 4: Simplify right side
    16,867.88x = 380,669,122.50
  5. Step 5: Solve for x
    x = 380,669,122.50/16,867.88
  6. Step 6: Final answer
    x = 22,567.69

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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.