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Finding the Fourth Proportional to 21,683.08, 32,520.84 and 6,097

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Solution

The fourth proportional to 21,683.08, 32,520.84 and 6,097 is: 9,144.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.08 : 32,520.84 = 6,097 : x
  2. Step 2: Convert to fraction form
    21,683.08/32,520.84 = 6,097/x
  3. Step 3: Cross multiply
    21,683.08x = 32,520.84 × 6,097
  4. Step 4: Simplify right side
    21,683.08x = 198,279,561.48
  5. Step 5: Solve for x
    x = 198,279,561.48/21,683.08
  6. Step 6: Final answer
    x = 9,144.44

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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.