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Finding the Fourth Proportional to 20,590.29, 30,885.48 and 7,442.64

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Solution

The fourth proportional to 20,590.29, 30,885.48 and 7,442.64 is: 11,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.29 : 30,885.48 = 7,442.64 : x
  2. Step 2: Convert to fraction form
    20,590.29/30,885.48 = 7,442.64/x
  3. Step 3: Cross multiply
    20,590.29x = 30,885.48 × 7,442.64
  4. Step 4: Simplify right side
    20,590.29x = 229,869,508.87
  5. Step 5: Solve for x
    x = 229,869,508.87/20,590.29
  6. Step 6: Final answer
    x = 11,163.98

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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.