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Finding the Fourth Proportional to 21,832.83, 32,756.08 and 9,189.24

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Solution

The fourth proportional to 21,832.83, 32,756.08 and 9,189.24 is: 13,786.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,832.83 : 32,756.08 = 9,189.24 : x
  2. Step 2: Convert to fraction form
    21,832.83/32,756.08 = 9,189.24/x
  3. Step 3: Cross multiply
    21,832.83x = 32,756.08 × 9,189.24
  4. Step 4: Simplify right side
    21,832.83x = 301,003,480.58
  5. Step 5: Solve for x
    x = 301,003,480.58/21,832.83
  6. Step 6: Final answer
    x = 13,786.74

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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.