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Finding the Fourth Proportional to 16,177.34, 24,230.93 and 7,839.87

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Solution

The fourth proportional to 16,177.34, 24,230.93 and 7,839.87 is: 11,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,177.34 : 24,230.93 = 7,839.87 : x
  2. Step 2: Convert to fraction form
    16,177.34/24,230.93 = 7,839.87/x
  3. Step 3: Cross multiply
    16,177.34x = 24,230.93 × 7,839.87
  4. Step 4: Simplify right side
    16,177.34x = 189,967,301.98
  5. Step 5: Solve for x
    x = 189,967,301.98/16,177.34
  6. Step 6: Final answer
    x = 11,742.81

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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.