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Finding the Fourth Proportional to 20,362.32, 30,543.72 and 7,205.40

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Solution

The fourth proportional to 20,362.32, 30,543.72 and 7,205.40 is: 10,808.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,362.32 : 30,543.72 = 7,205.40 : x
  2. Step 2: Convert to fraction form
    20,362.32/30,543.72 = 7,205.40/x
  3. Step 3: Cross multiply
    20,362.32x = 30,543.72 × 7,205.40
  4. Step 4: Simplify right side
    20,362.32x = 220,079,720.09
  5. Step 5: Solve for x
    x = 220,079,720.09/20,362.32
  6. Step 6: Final answer
    x = 10,808.18

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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.