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Finding the Fourth Proportional to 16,446.77, 24,651.66 and 8,109.14

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Solution

The fourth proportional to 16,446.77, 24,651.66 and 8,109.14 is: 12,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.77 : 24,651.66 = 8,109.14 : x
  2. Step 2: Convert to fraction form
    16,446.77/24,651.66 = 8,109.14/x
  3. Step 3: Cross multiply
    16,446.77x = 24,651.66 × 8,109.14
  4. Step 4: Simplify right side
    16,446.77x = 199,903,762.17
  5. Step 5: Solve for x
    x = 199,903,762.17/16,446.77
  6. Step 6: Final answer
    x = 12,154.59

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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.