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Finding the Fourth Proportional to 20,362.68, 30,542.40 and 6,322.14

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Solution

The fourth proportional to 20,362.68, 30,542.40 and 6,322.14 is: 9,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,362.68 : 30,542.40 = 6,322.14 : x
  2. Step 2: Convert to fraction form
    20,362.68/30,542.40 = 6,322.14/x
  3. Step 3: Cross multiply
    20,362.68x = 30,542.40 × 6,322.14
  4. Step 4: Simplify right side
    20,362.68x = 193,093,328.74
  5. Step 5: Solve for x
    x = 193,093,328.74/20,362.68
  6. Step 6: Final answer
    x = 9,482.71

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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.