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Finding the Fourth Proportional to 13,725.78, 18,920.61 and 8,410.74

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Solution

The fourth proportional to 13,725.78, 18,920.61 and 8,410.74 is: 11,593.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,725.78 : 18,920.61 = 8,410.74 : x
  2. Step 2: Convert to fraction form
    13,725.78/18,920.61 = 8,410.74/x
  3. Step 3: Cross multiply
    13,725.78x = 18,920.61 × 8,410.74
  4. Step 4: Simplify right side
    13,725.78x = 159,136,331.35
  5. Step 5: Solve for x
    x = 159,136,331.35/13,725.78
  6. Step 6: Final answer
    x = 11,593.97

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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.