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Finding the Fourth Proportional to 12,218.50, 18,328.09 and 4,319.90

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Solution

The fourth proportional to 12,218.50, 18,328.09 and 4,319.90 is: 6,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.50 : 18,328.09 = 4,319.90 : x
  2. Step 2: Convert to fraction form
    12,218.50/18,328.09 = 4,319.90/x
  3. Step 3: Cross multiply
    12,218.50x = 18,328.09 × 4,319.90
  4. Step 4: Simplify right side
    12,218.50x = 79,175,424.35
  5. Step 5: Solve for x
    x = 79,175,424.35/12,218.50
  6. Step 6: Final answer
    x = 6,479.97

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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.