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Finding the Fourth Proportional to 20,446.25, 30,665.93 and 6,595.25

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Solution

The fourth proportional to 20,446.25, 30,665.93 and 6,595.25 is: 9,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.25 : 30,665.93 = 6,595.25 : x
  2. Step 2: Convert to fraction form
    20,446.25/30,665.93 = 6,595.25/x
  3. Step 3: Cross multiply
    20,446.25x = 30,665.93 × 6,595.25
  4. Step 4: Simplify right side
    20,446.25x = 202,249,288.53
  5. Step 5: Solve for x
    x = 202,249,288.53/20,446.25
  6. Step 6: Final answer
    x = 9,891.76

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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.