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Finding the Fourth Proportional to 21,661.15, 32,494.98 and 9,181.24

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Solution

The fourth proportional to 21,661.15, 32,494.98 and 9,181.24 is: 13,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,661.15 : 32,494.98 = 9,181.24 : x
  2. Step 2: Convert to fraction form
    21,661.15/32,494.98 = 9,181.24/x
  3. Step 3: Cross multiply
    21,661.15x = 32,494.98 × 9,181.24
  4. Step 4: Simplify right side
    21,661.15x = 298,344,210.18
  5. Step 5: Solve for x
    x = 298,344,210.18/21,661.15
  6. Step 6: Final answer
    x = 13,773.24

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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.