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Finding the Fourth Proportional to 21,730.26, 32,596.60 and 6,149.10

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Solution

The fourth proportional to 21,730.26, 32,596.60 and 6,149.10 is: 9,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.26 : 32,596.60 = 6,149.10 : x
  2. Step 2: Convert to fraction form
    21,730.26/32,596.60 = 6,149.10/x
  3. Step 3: Cross multiply
    21,730.26x = 32,596.60 × 6,149.10
  4. Step 4: Simplify right side
    21,730.26x = 200,439,753.06
  5. Step 5: Solve for x
    x = 200,439,753.06/21,730.26
  6. Step 6: Final answer
    x = 9,223.99

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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.