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Finding the Fourth Proportional to 20,886.92, 31,274.96 and 16,338.65

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Solution

The fourth proportional to 20,886.92, 31,274.96 and 16,338.65 is: 24,464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886.92 : 31,274.96 = 16,338.65 : x
  2. Step 2: Convert to fraction form
    20,886.92/31,274.96 = 16,338.65/x
  3. Step 3: Cross multiply
    20,886.92x = 31,274.96 × 16,338.65
  4. Step 4: Simplify right side
    20,886.92x = 510,990,543.51
  5. Step 5: Solve for x
    x = 510,990,543.51/20,886.92
  6. Step 6: Final answer
    x = 24,464.62

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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.