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Finding the Fourth Proportional to 20,410.98, 28,166.67 and 11,458.86

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Solution

The fourth proportional to 20,410.98, 28,166.67 and 11,458.86 is: 15,812.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,410.98 : 28,166.67 = 11,458.86 : x
  2. Step 2: Convert to fraction form
    20,410.98/28,166.67 = 11,458.86/x
  3. Step 3: Cross multiply
    20,410.98x = 28,166.67 × 11,458.86
  4. Step 4: Simplify right side
    20,410.98x = 322,757,928.20
  5. Step 5: Solve for x
    x = 322,757,928.20/20,410.98
  6. Step 6: Final answer
    x = 15,812.96

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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.