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Finding the Fourth Proportional to 20,806.68, 28,715.19 and 11,376.66

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Solution

The fourth proportional to 20,806.68, 28,715.19 and 11,376.66 is: 15,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,806.68 : 28,715.19 = 11,376.66 : x
  2. Step 2: Convert to fraction form
    20,806.68/28,715.19 = 11,376.66/x
  3. Step 3: Cross multiply
    20,806.68x = 28,715.19 × 11,376.66
  4. Step 4: Simplify right side
    20,806.68x = 326,682,953.47
  5. Step 5: Solve for x
    x = 326,682,953.47/20,806.68
  6. Step 6: Final answer
    x = 15,700.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.