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Finding the Fourth Proportional to 16,741.51, 23,103.09 and 9,667.78

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Solution

The fourth proportional to 16,741.51, 23,103.09 and 9,667.78 is: 13,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,741.51 : 23,103.09 = 9,667.78 : x
  2. Step 2: Convert to fraction form
    16,741.51/23,103.09 = 9,667.78/x
  3. Step 3: Cross multiply
    16,741.51x = 23,103.09 × 9,667.78
  4. Step 4: Simplify right side
    16,741.51x = 223,355,533.68
  5. Step 5: Solve for x
    x = 223,355,533.68/16,741.51
  6. Step 6: Final answer
    x = 13,341.42

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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.