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Finding the Fourth Proportional to 16,119, 24,178.50 and 5,730.75

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Solution

The fourth proportional to 16,119, 24,178.50 and 5,730.75 is: 8,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,119 : 24,178.50 = 5,730.75 : x
  2. Step 2: Convert to fraction form
    16,119/24,178.50 = 5,730.75/x
  3. Step 3: Cross multiply
    16,119x = 24,178.50 × 5,730.75
  4. Step 4: Simplify right side
    16,119x = 138,560,938.88
  5. Step 5: Solve for x
    x = 138,560,938.88/16,119
  6. Step 6: Final answer
    x = 8,596.13

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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.