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Finding the Fourth Proportional to 14,599.86, 20,147.31 and 8,311.02

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Solution

The fourth proportional to 14,599.86, 20,147.31 and 8,311.02 is: 11,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,599.86 : 20,147.31 = 8,311.02 : x
  2. Step 2: Convert to fraction form
    14,599.86/20,147.31 = 8,311.02/x
  3. Step 3: Cross multiply
    14,599.86x = 20,147.31 × 8,311.02
  4. Step 4: Simplify right side
    14,599.86x = 167,444,696.36
  5. Step 5: Solve for x
    x = 167,444,696.36/14,599.86
  6. Step 6: Final answer
    x = 11,468.92

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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.