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Finding the Fourth Proportional to 19,730.76, 27,227.99 and 10,778.30

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Solution

The fourth proportional to 19,730.76, 27,227.99 and 10,778.30 is: 14,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730.76 : 27,227.99 = 10,778.30 : x
  2. Step 2: Convert to fraction form
    19,730.76/27,227.99 = 10,778.30/x
  3. Step 3: Cross multiply
    19,730.76x = 27,227.99 × 10,778.30
  4. Step 4: Simplify right side
    19,730.76x = 293,471,444.62
  5. Step 5: Solve for x
    x = 293,471,444.62/19,730.76
  6. Step 6: Final answer
    x = 14,873.80

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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.