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Finding the Fourth Proportional to 19,836.40, 29,754.57 and 8,141.38

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Solution

The fourth proportional to 19,836.40, 29,754.57 and 8,141.38 is: 12,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,836.40 : 29,754.57 = 8,141.38 : x
  2. Step 2: Convert to fraction form
    19,836.40/29,754.57 = 8,141.38/x
  3. Step 3: Cross multiply
    19,836.40x = 29,754.57 × 8,141.38
  4. Step 4: Simplify right side
    19,836.40x = 242,243,261.11
  5. Step 5: Solve for x
    x = 242,243,261.11/19,836.40
  6. Step 6: Final answer
    x = 12,212.06

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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.