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Finding the Fourth Proportional to 21,206.30, 31,809.45 and 20,234.30

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Solution

The fourth proportional to 21,206.30, 31,809.45 and 20,234.30 is: 30,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206.30 : 31,809.45 = 20,234.30 : x
  2. Step 2: Convert to fraction form
    21,206.30/31,809.45 = 20,234.30/x
  3. Step 3: Cross multiply
    21,206.30x = 31,809.45 × 20,234.30
  4. Step 4: Simplify right side
    21,206.30x = 643,641,954.14
  5. Step 5: Solve for x
    x = 643,641,954.14/21,206.30
  6. Step 6: Final answer
    x = 30,351.45

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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.