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Finding the Fourth Proportional to 14,686.75, 20,267.72 and 8,399.13

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Solution

The fourth proportional to 14,686.75, 20,267.72 and 8,399.13 is: 11,590.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.75 : 20,267.72 = 8,399.13 : x
  2. Step 2: Convert to fraction form
    14,686.75/20,267.72 = 8,399.13/x
  3. Step 3: Cross multiply
    14,686.75x = 20,267.72 × 8,399.13
  4. Step 4: Simplify right side
    14,686.75x = 170,231,071.75
  5. Step 5: Solve for x
    x = 170,231,071.75/14,686.75
  6. Step 6: Final answer
    x = 11,590.79

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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.