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Finding the Fourth Proportional to 19,960.40, 27,543.48 and 11,576

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Solution

The fourth proportional to 19,960.40, 27,543.48 and 11,576 is: 15,973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,960.40 : 27,543.48 = 11,576 : x
  2. Step 2: Convert to fraction form
    19,960.40/27,543.48 = 11,576/x
  3. Step 3: Cross multiply
    19,960.40x = 27,543.48 × 11,576
  4. Step 4: Simplify right side
    19,960.40x = 318,843,324.48
  5. Step 5: Solve for x
    x = 318,843,324.48/19,960.40
  6. Step 6: Final answer
    x = 15,973.79

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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.