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Finding the Fourth Proportional to 19,924.92, 27,497.70 and 13,198.86

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Solution

The fourth proportional to 19,924.92, 27,497.70 and 13,198.86 is: 18,215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,924.92 : 27,497.70 = 13,198.86 : x
  2. Step 2: Convert to fraction form
    19,924.92/27,497.70 = 13,198.86/x
  3. Step 3: Cross multiply
    19,924.92x = 27,497.70 × 13,198.86
  4. Step 4: Simplify right side
    19,924.92x = 362,938,292.62
  5. Step 5: Solve for x
    x = 362,938,292.62/19,924.92
  6. Step 6: Final answer
    x = 18,215.29

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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.