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Finding the Fourth Proportional to 21,407.83, 32,115.22 and 6,613.31

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Solution

The fourth proportional to 21,407.83, 32,115.22 and 6,613.31 is: 9,921.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,407.83 : 32,115.22 = 6,613.31 : x
  2. Step 2: Convert to fraction form
    21,407.83/32,115.22 = 6,613.31/x
  3. Step 3: Cross multiply
    21,407.83x = 32,115.22 × 6,613.31
  4. Step 4: Simplify right side
    21,407.83x = 212,387,969.33
  5. Step 5: Solve for x
    x = 212,387,969.33/21,407.83
  6. Step 6: Final answer
    x = 9,921.04

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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.