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Finding the Fourth Proportional to 21,896.30, 32,832.30 and 9,414.20

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Solution

The fourth proportional to 21,896.30, 32,832.30 and 9,414.20 is: 14,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,896.30 : 32,832.30 = 9,414.20 : x
  2. Step 2: Convert to fraction form
    21,896.30/32,832.30 = 9,414.20/x
  3. Step 3: Cross multiply
    21,896.30x = 32,832.30 × 9,414.20
  4. Step 4: Simplify right side
    21,896.30x = 309,089,838.66
  5. Step 5: Solve for x
    x = 309,089,838.66/21,896.30
  6. Step 6: Final answer
    x = 14,116.08

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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.