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Finding the Fourth Proportional to 20,692.29, 31,053.83 and 10,167.96

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Solution

The fourth proportional to 20,692.29, 31,053.83 and 10,167.96 is: 15,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,692.29 : 31,053.83 = 10,167.96 : x
  2. Step 2: Convert to fraction form
    20,692.29/31,053.83 = 10,167.96/x
  3. Step 3: Cross multiply
    20,692.29x = 31,053.83 × 10,167.96
  4. Step 4: Simplify right side
    20,692.29x = 315,754,050.45
  5. Step 5: Solve for x
    x = 315,754,050.45/20,692.29
  6. Step 6: Final answer
    x = 15,259.50

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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.