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Finding the Fourth Proportional to 16,184.46, 24,268.41 and 7,411.85

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Solution

The fourth proportional to 16,184.46, 24,268.41 and 7,411.85 is: 11,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.46 : 24,268.41 = 7,411.85 : x
  2. Step 2: Convert to fraction form
    16,184.46/24,268.41 = 7,411.85/x
  3. Step 3: Cross multiply
    16,184.46x = 24,268.41 × 7,411.85
  4. Step 4: Simplify right side
    16,184.46x = 179,873,920.83
  5. Step 5: Solve for x
    x = 179,873,920.83/16,184.46
  6. Step 6: Final answer
    x = 11,113.99

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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.