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Finding the Fourth Proportional to 20,536.34, 30,807.53 and 6,493.19

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Solution

The fourth proportional to 20,536.34, 30,807.53 and 6,493.19 is: 9,740.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536.34 : 30,807.53 = 6,493.19 : x
  2. Step 2: Convert to fraction form
    20,536.34/30,807.53 = 6,493.19/x
  3. Step 3: Cross multiply
    20,536.34x = 30,807.53 × 6,493.19
  4. Step 4: Simplify right side
    20,536.34x = 200,038,959.22
  5. Step 5: Solve for x
    x = 200,038,959.22/20,536.34
  6. Step 6: Final answer
    x = 9,740.73

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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.