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Finding the Fourth Proportional to 12,220.70, 18,331.04 and 4,429.50

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Solution

The fourth proportional to 12,220.70, 18,331.04 and 4,429.50 is: 6,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.70 : 18,331.04 = 4,429.50 : x
  2. Step 2: Convert to fraction form
    12,220.70/18,331.04 = 4,429.50/x
  3. Step 3: Cross multiply
    12,220.70x = 18,331.04 × 4,429.50
  4. Step 4: Simplify right side
    12,220.70x = 81,197,319.53
  5. Step 5: Solve for x
    x = 81,197,319.53/12,220.70
  6. Step 6: Final answer
    x = 6,644.25

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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.