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Finding the Fourth Proportional to 11,699.62, 16,149.32 and 9,313.98

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Solution

The fourth proportional to 11,699.62, 16,149.32 and 9,313.98 is: 12,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699.62 : 16,149.32 = 9,313.98 : x
  2. Step 2: Convert to fraction form
    11,699.62/16,149.32 = 9,313.98/x
  3. Step 3: Cross multiply
    11,699.62x = 16,149.32 × 9,313.98
  4. Step 4: Simplify right side
    11,699.62x = 150,414,443.49
  5. Step 5: Solve for x
    x = 150,414,443.49/11,699.62
  6. Step 6: Final answer
    x = 12,856.35

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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.