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Finding the Fourth Proportional to 27,202, 40,806.72 and 9,667.12

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Solution

The fourth proportional to 27,202, 40,806.72 and 9,667.12 is: 14,502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,202 : 40,806.72 = 9,667.12 : x
  2. Step 2: Convert to fraction form
    27,202/40,806.72 = 9,667.12/x
  3. Step 3: Cross multiply
    27,202x = 40,806.72 × 9,667.12
  4. Step 4: Simplify right side
    27,202x = 394,483,459.05
  5. Step 5: Solve for x
    x = 394,483,459.05/27,202
  6. Step 6: Final answer
    x = 14,502.00

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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.