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Finding the Fourth Proportional to 13,882.22, 19,157.74 and 7,594.73

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Solution

The fourth proportional to 13,882.22, 19,157.74 and 7,594.73 is: 10,480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.22 : 19,157.74 = 7,594.73 : x
  2. Step 2: Convert to fraction form
    13,882.22/19,157.74 = 7,594.73/x
  3. Step 3: Cross multiply
    13,882.22x = 19,157.74 × 7,594.73
  4. Step 4: Simplify right side
    13,882.22x = 145,497,834.02
  5. Step 5: Solve for x
    x = 145,497,834.02/13,882.22
  6. Step 6: Final answer
    x = 10,480.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.