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Finding the Fourth Proportional to 19,774.05, 29,644.82 and 9,238.86

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Solution

The fourth proportional to 19,774.05, 29,644.82 and 9,238.86 is: 13,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.05 : 29,644.82 = 9,238.86 : x
  2. Step 2: Convert to fraction form
    19,774.05/29,644.82 = 9,238.86/x
  3. Step 3: Cross multiply
    19,774.05x = 29,644.82 × 9,238.86
  4. Step 4: Simplify right side
    19,774.05x = 273,884,369.13
  5. Step 5: Solve for x
    x = 273,884,369.13/19,774.05
  6. Step 6: Final answer
    x = 13,850.70

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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.