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Finding the Fourth Proportional to 21,266.40, 31,949.12 and 20,429.92

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Solution

The fourth proportional to 21,266.40, 31,949.12 and 20,429.92 is: 30,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,266.40 : 31,949.12 = 20,429.92 : x
  2. Step 2: Convert to fraction form
    21,266.40/31,949.12 = 20,429.92/x
  3. Step 3: Cross multiply
    21,266.40x = 31,949.12 × 20,429.92
  4. Step 4: Simplify right side
    21,266.40x = 652,717,965.67
  5. Step 5: Solve for x
    x = 652,717,965.67/21,266.40
  6. Step 6: Final answer
    x = 30,692.45

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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.