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Finding the Fourth Proportional to 19,774.56, 29,662.22 and 9,241.69

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Solution

The fourth proportional to 19,774.56, 29,662.22 and 9,241.69 is: 13,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,774.56 : 29,662.22 = 9,241.69 : x
  2. Step 2: Convert to fraction form
    19,774.56/29,662.22 = 9,241.69/x
  3. Step 3: Cross multiply
    19,774.56x = 29,662.22 × 9,241.69
  4. Step 4: Simplify right side
    19,774.56x = 274,129,041.95
  5. Step 5: Solve for x
    x = 274,129,041.95/19,774.56
  6. Step 6: Final answer
    x = 13,862.71

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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.