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Finding the Fourth Proportional to 20,008.68, 30,007.50 and 6,856.56

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Solution

The fourth proportional to 20,008.68, 30,007.50 and 6,856.56 is: 10,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,008.68 : 30,007.50 = 6,856.56 : x
  2. Step 2: Convert to fraction form
    20,008.68/30,007.50 = 6,856.56/x
  3. Step 3: Cross multiply
    20,008.68x = 30,007.50 × 6,856.56
  4. Step 4: Simplify right side
    20,008.68x = 205,748,224.20
  5. Step 5: Solve for x
    x = 205,748,224.20/20,008.68
  6. Step 6: Final answer
    x = 10,282.95

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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.