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Finding the Fourth Proportional to 19,343.84, 29,017.85 and 8,251.70

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Solution

The fourth proportional to 19,343.84, 29,017.85 and 8,251.70 is: 12,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,343.84 : 29,017.85 = 8,251.70 : x
  2. Step 2: Convert to fraction form
    19,343.84/29,017.85 = 8,251.70/x
  3. Step 3: Cross multiply
    19,343.84x = 29,017.85 × 8,251.70
  4. Step 4: Simplify right side
    19,343.84x = 239,446,406.50
  5. Step 5: Solve for x
    x = 239,446,406.50/19,343.84
  6. Step 6: Final answer
    x = 12,378.44

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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.