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Finding the Fourth Proportional to 16,189.78, 22,342.59 and 9,019.69

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Solution

The fourth proportional to 16,189.78, 22,342.59 and 9,019.69 is: 12,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.78 : 22,342.59 = 9,019.69 : x
  2. Step 2: Convert to fraction form
    16,189.78/22,342.59 = 9,019.69/x
  3. Step 3: Cross multiply
    16,189.78x = 22,342.59 × 9,019.69
  4. Step 4: Simplify right side
    16,189.78x = 201,523,190.50
  5. Step 5: Solve for x
    x = 201,523,190.50/16,189.78
  6. Step 6: Final answer
    x = 12,447.56

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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.