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Finding the Fourth Proportional to 20,535.65, 30,807.27 and 6,499.21

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Solution

The fourth proportional to 20,535.65, 30,807.27 and 6,499.21 is: 9,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,535.65 : 30,807.27 = 6,499.21 : x
  2. Step 2: Convert to fraction form
    20,535.65/30,807.27 = 6,499.21/x
  3. Step 3: Cross multiply
    20,535.65x = 30,807.27 × 6,499.21
  4. Step 4: Simplify right side
    20,535.65x = 200,222,917.26
  5. Step 5: Solve for x
    x = 200,222,917.26/20,535.65
  6. Step 6: Final answer
    x = 9,750.02

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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.