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Finding the Fourth Proportional to 13,811.57, 19,061.84 and 8,147.91

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Solution

The fourth proportional to 13,811.57, 19,061.84 and 8,147.91 is: 11,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.57 : 19,061.84 = 8,147.91 : x
  2. Step 2: Convert to fraction form
    13,811.57/19,061.84 = 8,147.91/x
  3. Step 3: Cross multiply
    13,811.57x = 19,061.84 × 8,147.91
  4. Step 4: Simplify right side
    13,811.57x = 155,314,156.75
  5. Step 5: Solve for x
    x = 155,314,156.75/13,811.57
  6. Step 6: Final answer
    x = 11,245.22

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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.