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Finding the Fourth Proportional to 11,600.62, 17,316.92 and 10,199.38

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Solution

The fourth proportional to 11,600.62, 17,316.92 and 10,199.38 is: 15,225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.62 : 17,316.92 = 10,199.38 : x
  2. Step 2: Convert to fraction form
    11,600.62/17,316.92 = 10,199.38/x
  3. Step 3: Cross multiply
    11,600.62x = 17,316.92 × 10,199.38
  4. Step 4: Simplify right side
    11,600.62x = 176,621,847.51
  5. Step 5: Solve for x
    x = 176,621,847.51/11,600.62
  6. Step 6: Final answer
    x = 15,225.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.