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Finding the Fourth Proportional to 11,652.26, 17,462.66 and 8,358.14

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Solution

The fourth proportional to 11,652.26, 17,462.66 and 8,358.14 is: 12,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.26 : 17,462.66 = 8,358.14 : x
  2. Step 2: Convert to fraction form
    11,652.26/17,462.66 = 8,358.14/x
  3. Step 3: Cross multiply
    11,652.26x = 17,462.66 × 8,358.14
  4. Step 4: Simplify right side
    11,652.26x = 145,955,357.05
  5. Step 5: Solve for x
    x = 145,955,357.05/11,652.26
  6. Step 6: Final answer
    x = 12,525.93

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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.