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Finding the Fourth Proportional to 23,202.69, 32,027.40 and 16,507.73

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Solution

The fourth proportional to 23,202.69, 32,027.40 and 16,507.73 is: 22,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.69 : 32,027.40 = 16,507.73 : x
  2. Step 2: Convert to fraction form
    23,202.69/32,027.40 = 16,507.73/x
  3. Step 3: Cross multiply
    23,202.69x = 32,027.40 × 16,507.73
  4. Step 4: Simplify right side
    23,202.69x = 528,699,751.87
  5. Step 5: Solve for x
    x = 528,699,751.87/23,202.69
  6. Step 6: Final answer
    x = 22,786.14

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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.