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Finding the Fourth Proportional to 13,474.84, 18,593.85 and 7,811.36

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Solution

The fourth proportional to 13,474.84, 18,593.85 and 7,811.36 is: 10,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.84 : 18,593.85 = 7,811.36 : x
  2. Step 2: Convert to fraction form
    13,474.84/18,593.85 = 7,811.36/x
  3. Step 3: Cross multiply
    13,474.84x = 18,593.85 × 7,811.36
  4. Step 4: Simplify right side
    13,474.84x = 145,243,302.62
  5. Step 5: Solve for x
    x = 145,243,302.62/13,474.84
  6. Step 6: Final answer
    x = 10,778.85

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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.