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Finding the Fourth Proportional to 13,304, 19,955.92 and 3,443.24

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Solution

The fourth proportional to 13,304, 19,955.92 and 3,443.24 is: 5,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,304 : 19,955.92 = 3,443.24 : x
  2. Step 2: Convert to fraction form
    13,304/19,955.92 = 3,443.24/x
  3. Step 3: Cross multiply
    13,304x = 19,955.92 × 3,443.24
  4. Step 4: Simplify right side
    13,304x = 68,713,021.98
  5. Step 5: Solve for x
    x = 68,713,021.98/13,304
  6. Step 6: Final answer
    x = 5,164.84

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Why These Related Problems?

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