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Finding the Fourth Proportional to 16,189.86, 24,261.16 and 7,173.09

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Solution

The fourth proportional to 16,189.86, 24,261.16 and 7,173.09 is: 10,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,189.86 : 24,261.16 = 7,173.09 : x
  2. Step 2: Convert to fraction form
    16,189.86/24,261.16 = 7,173.09/x
  3. Step 3: Cross multiply
    16,189.86x = 24,261.16 × 7,173.09
  4. Step 4: Simplify right side
    16,189.86x = 174,027,448.32
  5. Step 5: Solve for x
    x = 174,027,448.32/16,189.86
  6. Step 6: Final answer
    x = 10,749.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.