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Finding the Fourth Proportional to 19,697.72, 27,182.23 and 11,200.77

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Solution

The fourth proportional to 19,697.72, 27,182.23 and 11,200.77 is: 15,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697.72 : 27,182.23 = 11,200.77 : x
  2. Step 2: Convert to fraction form
    19,697.72/27,182.23 = 11,200.77/x
  3. Step 3: Cross multiply
    19,697.72x = 27,182.23 × 11,200.77
  4. Step 4: Simplify right side
    19,697.72x = 304,461,838.36
  5. Step 5: Solve for x
    x = 304,461,838.36/19,697.72
  6. Step 6: Final answer
    x = 15,456.71

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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.