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Finding the Fourth Proportional to 20,774.62, 31,174.42 and 7,446.58

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Solution

The fourth proportional to 20,774.62, 31,174.42 and 7,446.58 is: 11,174.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.62 : 31,174.42 = 7,446.58 : x
  2. Step 2: Convert to fraction form
    20,774.62/31,174.42 = 7,446.58/x
  3. Step 3: Cross multiply
    20,774.62x = 31,174.42 × 7,446.58
  4. Step 4: Simplify right side
    20,774.62x = 232,142,812.48
  5. Step 5: Solve for x
    x = 232,142,812.48/20,774.62
  6. Step 6: Final answer
    x = 11,174.35

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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.