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Finding the Fourth Proportional to 14,686.31, 20,265.58 and 8,399.09

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Solution

The fourth proportional to 14,686.31, 20,265.58 and 8,399.09 is: 11,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.31 : 20,265.58 = 8,399.09 : x
  2. Step 2: Convert to fraction form
    14,686.31/20,265.58 = 8,399.09/x
  3. Step 3: Cross multiply
    14,686.31x = 20,265.58 × 8,399.09
  4. Step 4: Simplify right side
    14,686.31x = 170,212,430.32
  5. Step 5: Solve for x
    x = 170,212,430.32/14,686.31
  6. Step 6: Final answer
    x = 11,589.87

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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.