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Finding the Fourth Proportional to 18,220.68, 27,331.02 and 7,830

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Solution

The fourth proportional to 18,220.68, 27,331.02 and 7,830 is: 11,745

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,220.68 : 27,331.02 = 7,830 : x
  2. Step 2: Convert to fraction form
    18,220.68/27,331.02 = 7,830/x
  3. Step 3: Cross multiply
    18,220.68x = 27,331.02 × 7,830
  4. Step 4: Simplify right side
    18,220.68x = 214,001,886.60
  5. Step 5: Solve for x
    x = 214,001,886.60/18,220.68
  6. Step 6: Final answer
    x = 11,745

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.