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Finding the Fourth Proportional to 20,694.81, 31,017.92 and 9,578.01

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Solution

The fourth proportional to 20,694.81, 31,017.92 and 9,578.01 is: 14,355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.81 : 31,017.92 = 9,578.01 : x
  2. Step 2: Convert to fraction form
    20,694.81/31,017.92 = 9,578.01/x
  3. Step 3: Cross multiply
    20,694.81x = 31,017.92 × 9,578.01
  4. Step 4: Simplify right side
    20,694.81x = 297,089,900.05
  5. Step 5: Solve for x
    x = 297,089,900.05/20,694.81
  6. Step 6: Final answer
    x = 14,355.77

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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.