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Finding the Fourth Proportional to 20,536.46, 30,808.50 and 6,500.02

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Solution

The fourth proportional to 20,536.46, 30,808.50 and 6,500.02 is: 9,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536.46 : 30,808.50 = 6,500.02 : x
  2. Step 2: Convert to fraction form
    20,536.46/30,808.50 = 6,500.02/x
  3. Step 3: Cross multiply
    20,536.46x = 30,808.50 × 6,500.02
  4. Step 4: Simplify right side
    20,536.46x = 200,255,866.17
  5. Step 5: Solve for x
    x = 200,255,866.17/20,536.46
  6. Step 6: Final answer
    x = 9,751.24

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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.