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Finding the Fourth Proportional to 19,830.25, 27,366.83 and 11,449.45

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Solution

The fourth proportional to 19,830.25, 27,366.83 and 11,449.45 is: 15,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.25 : 27,366.83 = 11,449.45 : x
  2. Step 2: Convert to fraction form
    19,830.25/27,366.83 = 11,449.45/x
  3. Step 3: Cross multiply
    19,830.25x = 27,366.83 × 11,449.45
  4. Step 4: Simplify right side
    19,830.25x = 313,335,151.74
  5. Step 5: Solve for x
    x = 313,335,151.74/19,830.25
  6. Step 6: Final answer
    x = 15,800.87

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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.