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Finding the Fourth Proportional to 20,730.26, 31,099.92 and 7,582.30

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Solution

The fourth proportional to 20,730.26, 31,099.92 and 7,582.30 is: 11,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730.26 : 31,099.92 = 7,582.30 : x
  2. Step 2: Convert to fraction form
    20,730.26/31,099.92 = 7,582.30/x
  3. Step 3: Cross multiply
    20,730.26x = 31,099.92 × 7,582.30
  4. Step 4: Simplify right side
    20,730.26x = 235,808,923.42
  5. Step 5: Solve for x
    x = 235,808,923.42/20,730.26
  6. Step 6: Final answer
    x = 11,375.11

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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.