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Finding the Fourth Proportional to 20,535.27, 30,802.83 and 4,952.89

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Solution

The fourth proportional to 20,535.27, 30,802.83 and 4,952.89 is: 7,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535.27 : 30,802.83 = 4,952.89 : x
  2. Step 2: Convert to fraction form
    20,535.27/30,802.83 = 4,952.89/x
  3. Step 3: Cross multiply
    20,535.27x = 30,802.83 × 4,952.89
  4. Step 4: Simplify right side
    20,535.27x = 152,563,028.68
  5. Step 5: Solve for x
    x = 152,563,028.68/20,535.27
  6. Step 6: Final answer
    x = 7,429.32

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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.