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Finding the Fourth Proportional to 20,217, 27,899.64 and 11,833.68

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Solution

The fourth proportional to 20,217, 27,899.64 and 11,833.68 is: 16,330.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,217 : 27,899.64 = 11,833.68 : x
  2. Step 2: Convert to fraction form
    20,217/27,899.64 = 11,833.68/x
  3. Step 3: Cross multiply
    20,217x = 27,899.64 × 11,833.68
  4. Step 4: Simplify right side
    20,217x = 330,155,411.88
  5. Step 5: Solve for x
    x = 330,155,411.88/20,217
  6. Step 6: Final answer
    x = 16,330.58

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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.