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Finding the Fourth Proportional to 20,355.38, 30,535 and 6,315.56

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Solution

The fourth proportional to 20,355.38, 30,535 and 6,315.56 is: 9,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,355.38 : 30,535 = 6,315.56 : x
  2. Step 2: Convert to fraction form
    20,355.38/30,535 = 6,315.56/x
  3. Step 3: Cross multiply
    20,355.38x = 30,535 × 6,315.56
  4. Step 4: Simplify right side
    20,355.38x = 192,845,624.60
  5. Step 5: Solve for x
    x = 192,845,624.60/20,355.38
  6. Step 6: Final answer
    x = 9,473.94

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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.