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Finding the Fourth Proportional to 20,229.30, 30,351.15 and 19,509.30

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Solution

The fourth proportional to 20,229.30, 30,351.15 and 19,509.30 is: 29,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.30 : 30,351.15 = 19,509.30 : x
  2. Step 2: Convert to fraction form
    20,229.30/30,351.15 = 19,509.30/x
  3. Step 3: Cross multiply
    20,229.30x = 30,351.15 × 19,509.30
  4. Step 4: Simplify right side
    20,229.30x = 592,129,690.70
  5. Step 5: Solve for x
    x = 592,129,690.70/20,229.30
  6. Step 6: Final answer
    x = 29,270.89

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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.