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Finding the Fourth Proportional to 13,882.59, 19,157.48 and 7,834.74

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Solution

The fourth proportional to 13,882.59, 19,157.48 and 7,834.74 is: 10,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.59 : 19,157.48 = 7,834.74 : x
  2. Step 2: Convert to fraction form
    13,882.59/19,157.48 = 7,834.74/x
  3. Step 3: Cross multiply
    13,882.59x = 19,157.48 × 7,834.74
  4. Step 4: Simplify right side
    13,882.59x = 150,093,759.48
  5. Step 5: Solve for x
    x = 150,093,759.48/13,882.59
  6. Step 6: Final answer
    x = 10,811.66

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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.