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Finding the Fourth Proportional to 19,826, 27,357.37 and 10,871.15

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Solution

The fourth proportional to 19,826, 27,357.37 and 10,871.15 is: 15,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,826 : 27,357.37 = 10,871.15 : x
  2. Step 2: Convert to fraction form
    19,826/27,357.37 = 10,871.15/x
  3. Step 3: Cross multiply
    19,826x = 27,357.37 × 10,871.15
  4. Step 4: Simplify right side
    19,826x = 297,406,072.88
  5. Step 5: Solve for x
    x = 297,406,072.88/19,826
  6. Step 6: Final answer
    x = 15,000.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.