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Finding the Fourth Proportional to 11,868.50, 16,369.62 and 9,990.12

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Solution

The fourth proportional to 11,868.50, 16,369.62 and 9,990.12 is: 13,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.50 : 16,369.62 = 9,990.12 : x
  2. Step 2: Convert to fraction form
    11,868.50/16,369.62 = 9,990.12/x
  3. Step 3: Cross multiply
    11,868.50x = 16,369.62 × 9,990.12
  4. Step 4: Simplify right side
    11,868.50x = 163,534,468.15
  5. Step 5: Solve for x
    x = 163,534,468.15/11,868.50
  6. Step 6: Final answer
    x = 13,778.87

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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.