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Finding the Fourth Proportional to 12,219.50, 18,328.33 and 3,899.18

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Solution

The fourth proportional to 12,219.50, 18,328.33 and 3,899.18 is: 5,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.50 : 18,328.33 = 3,899.18 : x
  2. Step 2: Convert to fraction form
    12,219.50/18,328.33 = 3,899.18/x
  3. Step 3: Cross multiply
    12,219.50x = 18,328.33 × 3,899.18
  4. Step 4: Simplify right side
    12,219.50x = 71,465,457.77
  5. Step 5: Solve for x
    x = 71,465,457.77/12,219.50
  6. Step 6: Final answer
    x = 5,848.48

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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.