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Finding the Fourth Proportional to 12,416.78, 18,637.42 and 10,104.06

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Solution

The fourth proportional to 12,416.78, 18,637.42 and 10,104.06 is: 15,166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.78 : 18,637.42 = 10,104.06 : x
  2. Step 2: Convert to fraction form
    12,416.78/18,637.42 = 10,104.06/x
  3. Step 3: Cross multiply
    12,416.78x = 18,637.42 × 10,104.06
  4. Step 4: Simplify right side
    12,416.78x = 188,313,609.93
  5. Step 5: Solve for x
    x = 188,313,609.93/12,416.78
  6. Step 6: Final answer
    x = 15,166.06

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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.