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Finding the Fourth Proportional to 14,557.82, 20,089.67 and 8,270.19

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Solution

The fourth proportional to 14,557.82, 20,089.67 and 8,270.19 is: 11,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,557.82 : 20,089.67 = 8,270.19 : x
  2. Step 2: Convert to fraction form
    14,557.82/20,089.67 = 8,270.19/x
  3. Step 3: Cross multiply
    14,557.82x = 20,089.67 × 8,270.19
  4. Step 4: Simplify right side
    14,557.82x = 166,145,346.59
  5. Step 5: Solve for x
    x = 166,145,346.59/14,557.82
  6. Step 6: Final answer
    x = 11,412.79

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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.