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Finding the Fourth Proportional to 16,170.84, 24,251.94 and 7,281

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Solution

The fourth proportional to 16,170.84, 24,251.94 and 7,281 is: 10,919.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170.84 : 24,251.94 = 7,281 : x
  2. Step 2: Convert to fraction form
    16,170.84/24,251.94 = 7,281/x
  3. Step 3: Cross multiply
    16,170.84x = 24,251.94 × 7,281
  4. Step 4: Simplify right side
    16,170.84x = 176,578,375.14
  5. Step 5: Solve for x
    x = 176,578,375.14/16,170.84
  6. Step 6: Final answer
    x = 10,919.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.