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Finding the Fourth Proportional to 13,184.92, 19,777.35 and 3,324.97

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Solution

The fourth proportional to 13,184.92, 19,777.35 and 3,324.97 is: 4,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.92 : 19,777.35 = 3,324.97 : x
  2. Step 2: Convert to fraction form
    13,184.92/19,777.35 = 3,324.97/x
  3. Step 3: Cross multiply
    13,184.92x = 19,777.35 × 3,324.97
  4. Step 4: Simplify right side
    13,184.92x = 65,759,095.43
  5. Step 5: Solve for x
    x = 65,759,095.43/13,184.92
  6. Step 6: Final answer
    x = 4,987.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.