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Finding the Fourth Proportional to 11,588.31, 17,349.57 and 9,718.41

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Solution

The fourth proportional to 11,588.31, 17,349.57 and 9,718.41 is: 14,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.31 : 17,349.57 = 9,718.41 : x
  2. Step 2: Convert to fraction form
    11,588.31/17,349.57 = 9,718.41/x
  3. Step 3: Cross multiply
    11,588.31x = 17,349.57 × 9,718.41
  4. Step 4: Simplify right side
    11,588.31x = 168,610,234.58
  5. Step 5: Solve for x
    x = 168,610,234.58/11,588.31
  6. Step 6: Final answer
    x = 14,550.03

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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.