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Finding the Fourth Proportional to 21,462.53, 32,174.82 and 8,126.26

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Solution

The fourth proportional to 21,462.53, 32,174.82 and 8,126.26 is: 12,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.53 : 32,174.82 = 8,126.26 : x
  2. Step 2: Convert to fraction form
    21,462.53/32,174.82 = 8,126.26/x
  3. Step 3: Cross multiply
    21,462.53x = 32,174.82 × 8,126.26
  4. Step 4: Simplify right side
    21,462.53x = 261,460,952.77
  5. Step 5: Solve for x
    x = 261,460,952.77/21,462.53
  6. Step 6: Final answer
    x = 12,182.21

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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.