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Finding the Fourth Proportional to 11,588.24, 17,352.12 and 8,132.24

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Solution

The fourth proportional to 11,588.24, 17,352.12 and 8,132.24 is: 12,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.24 : 17,352.12 = 8,132.24 : x
  2. Step 2: Convert to fraction form
    11,588.24/17,352.12 = 8,132.24/x
  3. Step 3: Cross multiply
    11,588.24x = 17,352.12 × 8,132.24
  4. Step 4: Simplify right side
    11,588.24x = 141,111,604.35
  5. Step 5: Solve for x
    x = 141,111,604.35/11,588.24
  6. Step 6: Final answer
    x = 12,177.14

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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.