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Finding the Fourth Proportional to 20,886.66, 31,345.55 and 8,406.78

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Solution

The fourth proportional to 20,886.66, 31,345.55 and 8,406.78 is: 12,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,886.66 : 31,345.55 = 8,406.78 : x
  2. Step 2: Convert to fraction form
    20,886.66/31,345.55 = 8,406.78/x
  3. Step 3: Cross multiply
    20,886.66x = 31,345.55 × 8,406.78
  4. Step 4: Simplify right side
    20,886.66x = 263,515,142.83
  5. Step 5: Solve for x
    x = 263,515,142.83/20,886.66
  6. Step 6: Final answer
    x = 12,616.43

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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.