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Finding the Fourth Proportional to 21,685.72, 32,533.17 and 8,359.06

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Solution

The fourth proportional to 21,685.72, 32,533.17 and 8,359.06 is: 12,540.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,685.72 : 32,533.17 = 8,359.06 : x
  2. Step 2: Convert to fraction form
    21,685.72/32,533.17 = 8,359.06/x
  3. Step 3: Cross multiply
    21,685.72x = 32,533.17 × 8,359.06
  4. Step 4: Simplify right side
    21,685.72x = 271,946,720.02
  5. Step 5: Solve for x
    x = 271,946,720.02/21,685.72
  6. Step 6: Final answer
    x = 12,540.36

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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.