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Finding the Fourth Proportional to 18,200.77, 27,292.78 and 9,441.83

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Solution

The fourth proportional to 18,200.77, 27,292.78 and 9,441.83 is: 14,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,200.77 : 27,292.78 = 9,441.83 : x
  2. Step 2: Convert to fraction form
    18,200.77/27,292.78 = 9,441.83/x
  3. Step 3: Cross multiply
    18,200.77x = 27,292.78 × 9,441.83
  4. Step 4: Simplify right side
    18,200.77x = 257,693,869.02
  5. Step 5: Solve for x
    x = 257,693,869.02/18,200.77
  6. Step 6: Final answer
    x = 14,158.41

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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.