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Finding the Fourth Proportional to 16,086.09, 24,137.36 and 7,662.13

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Solution

The fourth proportional to 16,086.09, 24,137.36 and 7,662.13 is: 11,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,086.09 : 24,137.36 = 7,662.13 : x
  2. Step 2: Convert to fraction form
    16,086.09/24,137.36 = 7,662.13/x
  3. Step 3: Cross multiply
    16,086.09x = 24,137.36 × 7,662.13
  4. Step 4: Simplify right side
    16,086.09x = 184,943,590.18
  5. Step 5: Solve for x
    x = 184,943,590.18/16,086.09
  6. Step 6: Final answer
    x = 11,497.11

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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.