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Finding the Fourth Proportional to 20,355.78, 30,535.70 and 6,315.24

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Solution

The fourth proportional to 20,355.78, 30,535.70 and 6,315.24 is: 9,473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,355.78 : 30,535.70 = 6,315.24 : x
  2. Step 2: Convert to fraction form
    20,355.78/30,535.70 = 6,315.24/x
  3. Step 3: Cross multiply
    20,355.78x = 30,535.70 × 6,315.24
  4. Step 4: Simplify right side
    20,355.78x = 192,840,242.49
  5. Step 5: Solve for x
    x = 192,840,242.49/20,355.78
  6. Step 6: Final answer
    x = 9,473.49

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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.