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Finding the Fourth Proportional to 13,808.41, 19,057.62 and 7,838.85

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Solution

The fourth proportional to 13,808.41, 19,057.62 and 7,838.85 is: 10,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,808.41 : 19,057.62 = 7,838.85 : x
  2. Step 2: Convert to fraction form
    13,808.41/19,057.62 = 7,838.85/x
  3. Step 3: Cross multiply
    13,808.41x = 19,057.62 × 7,838.85
  4. Step 4: Simplify right side
    13,808.41x = 149,389,824.54
  5. Step 5: Solve for x
    x = 149,389,824.54/13,808.41
  6. Step 6: Final answer
    x = 10,818.76

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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.