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Finding the Fourth Proportional to 13,293, 19,936.72 and 4,523.16

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Solution

The fourth proportional to 13,293, 19,936.72 and 4,523.16 is: 6,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,293 : 19,936.72 = 4,523.16 : x
  2. Step 2: Convert to fraction form
    13,293/19,936.72 = 4,523.16/x
  3. Step 3: Cross multiply
    13,293x = 19,936.72 × 4,523.16
  4. Step 4: Simplify right side
    13,293x = 90,176,974.44
  5. Step 5: Solve for x
    x = 90,176,974.44/13,293
  6. Step 6: Final answer
    x = 6,783.79

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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.