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Finding the Fourth Proportional to 16,498.53, 24,729.21 and 8,184.51

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Solution

The fourth proportional to 16,498.53, 24,729.21 and 8,184.51 is: 12,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.53 : 24,729.21 = 8,184.51 : x
  2. Step 2: Convert to fraction form
    16,498.53/24,729.21 = 8,184.51/x
  3. Step 3: Cross multiply
    16,498.53x = 24,729.21 × 8,184.51
  4. Step 4: Simplify right side
    16,498.53x = 202,396,466.54
  5. Step 5: Solve for x
    x = 202,396,466.54/16,498.53
  6. Step 6: Final answer
    x = 12,267.55

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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.