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Finding the Fourth Proportional to 18,735.39, 25,855.82 and 10,778.81

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Solution

The fourth proportional to 18,735.39, 25,855.82 and 10,778.81 is: 14,875.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,735.39 : 25,855.82 = 10,778.81 : x
  2. Step 2: Convert to fraction form
    18,735.39/25,855.82 = 10,778.81/x
  3. Step 3: Cross multiply
    18,735.39x = 25,855.82 × 10,778.81
  4. Step 4: Simplify right side
    18,735.39x = 278,694,971.17
  5. Step 5: Solve for x
    x = 278,694,971.17/18,735.39
  6. Step 6: Final answer
    x = 14,875.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.