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Finding the Fourth Proportional to 11,870, 16,369.76 and 10,190.87

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Solution

The fourth proportional to 11,870, 16,369.76 and 10,190.87 is: 14,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870 : 16,369.76 = 10,190.87 : x
  2. Step 2: Convert to fraction form
    11,870/16,369.76 = 10,190.87/x
  3. Step 3: Cross multiply
    11,870x = 16,369.76 × 10,190.87
  4. Step 4: Simplify right side
    11,870x = 166,822,096.09
  5. Step 5: Solve for x
    x = 166,822,096.09/11,870
  6. Step 6: Final answer
    x = 14,054.09

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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.