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Finding the Fourth Proportional to 16,218.38, 24,288.38 and 7,877.81

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Solution

The fourth proportional to 16,218.38, 24,288.38 and 7,877.81 is: 11,797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.38 : 24,288.38 = 7,877.81 : x
  2. Step 2: Convert to fraction form
    16,218.38/24,288.38 = 7,877.81/x
  3. Step 3: Cross multiply
    16,218.38x = 24,288.38 × 7,877.81
  4. Step 4: Simplify right side
    16,218.38x = 191,339,082.02
  5. Step 5: Solve for x
    x = 191,339,082.02/16,218.38
  6. Step 6: Final answer
    x = 11,797.67

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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.