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Finding the Fourth Proportional to 20,536.86, 30,809.94 and 6,497.76

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Solution

The fourth proportional to 20,536.86, 30,809.94 and 6,497.76 is: 9,748.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536.86 : 30,809.94 = 6,497.76 : x
  2. Step 2: Convert to fraction form
    20,536.86/30,809.94 = 6,497.76/x
  3. Step 3: Cross multiply
    20,536.86x = 30,809.94 × 6,497.76
  4. Step 4: Simplify right side
    20,536.86x = 200,195,595.73
  5. Step 5: Solve for x
    x = 200,195,595.73/20,536.86
  6. Step 6: Final answer
    x = 9,748.11

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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.