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Finding the Fourth Proportional to 19,223.82, 28,839.98 and 8,139.98

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Solution

The fourth proportional to 19,223.82, 28,839.98 and 8,139.98 is: 12,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,223.82 : 28,839.98 = 8,139.98 : x
  2. Step 2: Convert to fraction form
    19,223.82/28,839.98 = 8,139.98/x
  3. Step 3: Cross multiply
    19,223.82x = 28,839.98 × 8,139.98
  4. Step 4: Simplify right side
    19,223.82x = 234,756,675.50
  5. Step 5: Solve for x
    x = 234,756,675.50/19,223.82
  6. Step 6: Final answer
    x = 12,211.76

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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.