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Finding the Fourth Proportional to 20,825.80, 31,239.18 and 7,498.12

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Solution

The fourth proportional to 20,825.80, 31,239.18 and 7,498.12 is: 11,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825.80 : 31,239.18 = 7,498.12 : x
  2. Step 2: Convert to fraction form
    20,825.80/31,239.18 = 7,498.12/x
  3. Step 3: Cross multiply
    20,825.80x = 31,239.18 × 7,498.12
  4. Step 4: Simplify right side
    20,825.80x = 234,235,120.34
  5. Step 5: Solve for x
    x = 234,235,120.34/20,825.80
  6. Step 6: Final answer
    x = 11,247.35

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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.