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Finding the Fourth Proportional to 21,405.95, 32,108.97 and 11,549.87

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Solution

The fourth proportional to 21,405.95, 32,108.97 and 11,549.87 is: 17,324.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.95 : 32,108.97 = 11,549.87 : x
  2. Step 2: Convert to fraction form
    21,405.95/32,108.97 = 11,549.87/x
  3. Step 3: Cross multiply
    21,405.95x = 32,108.97 × 11,549.87
  4. Step 4: Simplify right side
    21,405.95x = 370,854,429.33
  5. Step 5: Solve for x
    x = 370,854,429.33/21,405.95
  6. Step 6: Final answer
    x = 17,324.83

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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.