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Finding the Fourth Proportional to 10,667.01, 16,001.33 and 8,171.81

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Solution

The fourth proportional to 10,667.01, 16,001.33 and 8,171.81 is: 12,258.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.01 : 16,001.33 = 8,171.81 : x
  2. Step 2: Convert to fraction form
    10,667.01/16,001.33 = 8,171.81/x
  3. Step 3: Cross multiply
    10,667.01x = 16,001.33 × 8,171.81
  4. Step 4: Simplify right side
    10,667.01x = 130,759,707.64
  5. Step 5: Solve for x
    x = 130,759,707.64/10,667.01
  6. Step 6: Final answer
    x = 12,258.33

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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.