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Finding the Fourth Proportional to 11,313.54, 16,957.99 and 9,665.09

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Solution

The fourth proportional to 11,313.54, 16,957.99 and 9,665.09 is: 14,487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,313.54 : 16,957.99 = 9,665.09 : x
  2. Step 2: Convert to fraction form
    11,313.54/16,957.99 = 9,665.09/x
  3. Step 3: Cross multiply
    11,313.54x = 16,957.99 × 9,665.09
  4. Step 4: Simplify right side
    11,313.54x = 163,900,490.45
  5. Step 5: Solve for x
    x = 163,900,490.45/11,313.54
  6. Step 6: Final answer
    x = 14,487.11

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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.