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Finding the Fourth Proportional to 13,721.78, 18,936.05 and 7,434.16

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Solution

The fourth proportional to 13,721.78, 18,936.05 and 7,434.16 is: 10,259.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721.78 : 18,936.05 = 7,434.16 : x
  2. Step 2: Convert to fraction form
    13,721.78/18,936.05 = 7,434.16/x
  3. Step 3: Cross multiply
    13,721.78x = 18,936.05 × 7,434.16
  4. Step 4: Simplify right side
    13,721.78x = 140,773,540.96
  5. Step 5: Solve for x
    x = 140,773,540.96/13,721.78
  6. Step 6: Final answer
    x = 10,259.13

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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.