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Finding the Fourth Proportional to 27,097.20, 40,662 and 9,581.76

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Solution

The fourth proportional to 27,097.20, 40,662 and 9,581.76 is: 14,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.20 : 40,662 = 9,581.76 : x
  2. Step 2: Convert to fraction form
    27,097.20/40,662 = 9,581.76/x
  3. Step 3: Cross multiply
    27,097.20x = 40,662 × 9,581.76
  4. Step 4: Simplify right side
    27,097.20x = 389,613,525.12
  5. Step 5: Solve for x
    x = 389,613,525.12/27,097.20
  6. Step 6: Final answer
    x = 14,378.37

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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.