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Finding the Fourth Proportional to 20,285.80, 30,428.70 and 19,508.20

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Solution

The fourth proportional to 20,285.80, 30,428.70 and 19,508.20 is: 29,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.80 : 30,428.70 = 19,508.20 : x
  2. Step 2: Convert to fraction form
    20,285.80/30,428.70 = 19,508.20/x
  3. Step 3: Cross multiply
    20,285.80x = 30,428.70 × 19,508.20
  4. Step 4: Simplify right side
    20,285.80x = 593,609,165.34
  5. Step 5: Solve for x
    x = 593,609,165.34/20,285.80
  6. Step 6: Final answer
    x = 29,262.30

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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.