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Finding the Fourth Proportional to 16,187.68, 24,303.87 and 11,178.29

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Solution

The fourth proportional to 16,187.68, 24,303.87 and 11,178.29 is: 16,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.68 : 24,303.87 = 11,178.29 : x
  2. Step 2: Convert to fraction form
    16,187.68/24,303.87 = 11,178.29/x
  3. Step 3: Cross multiply
    16,187.68x = 24,303.87 × 11,178.29
  4. Step 4: Simplify right side
    16,187.68x = 271,675,706.98
  5. Step 5: Solve for x
    x = 271,675,706.98/16,187.68
  6. Step 6: Final answer
    x = 16,782.87

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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.