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Finding the Fourth Proportional to 16,286.84, 24,412.13 and 6,934.67

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Solution

The fourth proportional to 16,286.84, 24,412.13 and 6,934.67 is: 10,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,286.84 : 24,412.13 = 6,934.67 : x
  2. Step 2: Convert to fraction form
    16,286.84/24,412.13 = 6,934.67/x
  3. Step 3: Cross multiply
    16,286.84x = 24,412.13 × 6,934.67
  4. Step 4: Simplify right side
    16,286.84x = 169,290,065.55
  5. Step 5: Solve for x
    x = 169,290,065.55/16,286.84
  6. Step 6: Final answer
    x = 10,394.29

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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.