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Finding the Fourth Proportional to 27,202.28, 40,807.53 and 9,667.94

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Solution

The fourth proportional to 27,202.28, 40,807.53 and 9,667.94 is: 14,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202.28 : 40,807.53 = 9,667.94 : x
  2. Step 2: Convert to fraction form
    27,202.28/40,807.53 = 9,667.94/x
  3. Step 3: Cross multiply
    27,202.28x = 40,807.53 × 9,667.94
  4. Step 4: Simplify right side
    27,202.28x = 394,524,547.55
  5. Step 5: Solve for x
    x = 394,524,547.55/27,202.28
  6. Step 6: Final answer
    x = 14,503.37

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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.