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Finding the Fourth Proportional to 19,934, 27,510.54 and 11,552.12

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Solution

The fourth proportional to 19,934, 27,510.54 and 11,552.12 is: 15,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,934 : 27,510.54 = 11,552.12 : x
  2. Step 2: Convert to fraction form
    19,934/27,510.54 = 11,552.12/x
  3. Step 3: Cross multiply
    19,934x = 27,510.54 × 11,552.12
  4. Step 4: Simplify right side
    19,934x = 317,805,059.34
  5. Step 5: Solve for x
    x = 317,805,059.34/19,934
  6. Step 6: Final answer
    x = 15,942.86

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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.