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Finding the Fourth Proportional to 20,886.16, 31,332.84 and 11,033.68

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Solution

The fourth proportional to 20,886.16, 31,332.84 and 11,033.68 is: 16,552.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886.16 : 31,332.84 = 11,033.68 : x
  2. Step 2: Convert to fraction form
    20,886.16/31,332.84 = 11,033.68/x
  3. Step 3: Cross multiply
    20,886.16x = 31,332.84 × 11,033.68
  4. Step 4: Simplify right side
    20,886.16x = 345,716,530.05
  5. Step 5: Solve for x
    x = 345,716,530.05/20,886.16
  6. Step 6: Final answer
    x = 16,552.42

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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.