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Finding the Fourth Proportional to 18,557.30, 27,857.55 and 9,787.70

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Solution

The fourth proportional to 18,557.30, 27,857.55 and 9,787.70 is: 14,692.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,557.30 : 27,857.55 = 9,787.70 : x
  2. Step 2: Convert to fraction form
    18,557.30/27,857.55 = 9,787.70/x
  3. Step 3: Cross multiply
    18,557.30x = 27,857.55 × 9,787.70
  4. Step 4: Simplify right side
    18,557.30x = 272,661,342.14
  5. Step 5: Solve for x
    x = 272,661,342.14/18,557.30
  6. Step 6: Final answer
    x = 14,692.94

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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.