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Finding the Fourth Proportional to 27,011.68, 40,535.68 and 9,481.60

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Solution

The fourth proportional to 27,011.68, 40,535.68 and 9,481.60 is: 14,228.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,011.68 : 40,535.68 = 9,481.60 : x
  2. Step 2: Convert to fraction form
    27,011.68/40,535.68 = 9,481.60/x
  3. Step 3: Cross multiply
    27,011.68x = 40,535.68 × 9,481.60
  4. Step 4: Simplify right side
    27,011.68x = 384,343,103.49
  5. Step 5: Solve for x
    x = 384,343,103.49/27,011.68
  6. Step 6: Final answer
    x = 14,228.77

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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.