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Finding the Fourth Proportional to 19,640.72, 27,103.75 and 10,688.24

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Solution

The fourth proportional to 19,640.72, 27,103.75 and 10,688.24 is: 14,749.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,640.72 : 27,103.75 = 10,688.24 : x
  2. Step 2: Convert to fraction form
    19,640.72/27,103.75 = 10,688.24/x
  3. Step 3: Cross multiply
    19,640.72x = 27,103.75 × 10,688.24
  4. Step 4: Simplify right side
    19,640.72x = 289,691,425.94
  5. Step 5: Solve for x
    x = 289,691,425.94/19,640.72
  6. Step 6: Final answer
    x = 14,749.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.