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Finding the Fourth Proportional to 20,315.25, 30,477.83 and 6,464.25

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Solution

The fourth proportional to 20,315.25, 30,477.83 and 6,464.25 is: 9,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.25 : 30,477.83 = 6,464.25 : x
  2. Step 2: Convert to fraction form
    20,315.25/30,477.83 = 6,464.25/x
  3. Step 3: Cross multiply
    20,315.25x = 30,477.83 × 6,464.25
  4. Step 4: Simplify right side
    20,315.25x = 197,016,280.26
  5. Step 5: Solve for x
    x = 197,016,280.26/20,315.25
  6. Step 6: Final answer
    x = 9,697.95

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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.