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Finding the Fourth Proportional to 18,097.70, 27,219.45 and 16,202.30

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Solution

The fourth proportional to 18,097.70, 27,219.45 and 16,202.30 is: 24,368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.70 : 27,219.45 = 16,202.30 : x
  2. Step 2: Convert to fraction form
    18,097.70/27,219.45 = 16,202.30/x
  3. Step 3: Cross multiply
    18,097.70x = 27,219.45 × 16,202.30
  4. Step 4: Simplify right side
    18,097.70x = 441,017,694.74
  5. Step 5: Solve for x
    x = 441,017,694.74/18,097.70
  6. Step 6: Final answer
    x = 24,368.72

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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.