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Finding the Fourth Proportional to 20,193.62, 30,291.54 and 7,714.68

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Solution

The fourth proportional to 20,193.62, 30,291.54 and 7,714.68 is: 11,572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,193.62 : 30,291.54 = 7,714.68 : x
  2. Step 2: Convert to fraction form
    20,193.62/30,291.54 = 7,714.68/x
  3. Step 3: Cross multiply
    20,193.62x = 30,291.54 × 7,714.68
  4. Step 4: Simplify right side
    20,193.62x = 233,689,537.81
  5. Step 5: Solve for x
    x = 233,689,537.81/20,193.62
  6. Step 6: Final answer
    x = 11,572.44

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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.