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Finding the Fourth Proportional to 19,711.05, 27,200.25 and 10,758.48

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Solution

The fourth proportional to 19,711.05, 27,200.25 and 10,758.48 is: 14,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,711.05 : 27,200.25 = 10,758.48 : x
  2. Step 2: Convert to fraction form
    19,711.05/27,200.25 = 10,758.48/x
  3. Step 3: Cross multiply
    19,711.05x = 27,200.25 × 10,758.48
  4. Step 4: Simplify right side
    19,711.05x = 292,633,345.62
  5. Step 5: Solve for x
    x = 292,633,345.62/19,711.05
  6. Step 6: Final answer
    x = 14,846.16

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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.