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Finding the Fourth Proportional to 20,498.16, 30,750.47 and 7,174.88

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Solution

The fourth proportional to 20,498.16, 30,750.47 and 7,174.88 is: 10,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,498.16 : 30,750.47 = 7,174.88 : x
  2. Step 2: Convert to fraction form
    20,498.16/30,750.47 = 7,174.88/x
  3. Step 3: Cross multiply
    20,498.16x = 30,750.47 × 7,174.88
  4. Step 4: Simplify right side
    20,498.16x = 220,630,742.57
  5. Step 5: Solve for x
    x = 220,630,742.57/20,498.16
  6. Step 6: Final answer
    x = 10,763.44

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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.