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Finding the Fourth Proportional to 27,202.01, 40,778.42 and 9,667.76

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Solution

The fourth proportional to 27,202.01, 40,778.42 and 9,667.76 is: 14,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.01 : 40,778.42 = 9,667.76 : x
  2. Step 2: Convert to fraction form
    27,202.01/40,778.42 = 9,667.76/x
  3. Step 3: Cross multiply
    27,202.01x = 40,778.42 × 9,667.76
  4. Step 4: Simplify right side
    27,202.01x = 394,235,725.51
  5. Step 5: Solve for x
    x = 394,235,725.51/27,202.01
  6. Step 6: Final answer
    x = 14,492.89

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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.