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Finding the Fourth Proportional to 13,838.95, 20,754.58 and 3,841.40

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Solution

The fourth proportional to 13,838.95, 20,754.58 and 3,841.40 is: 5,761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.95 : 20,754.58 = 3,841.40 : x
  2. Step 2: Convert to fraction form
    13,838.95/20,754.58 = 3,841.40/x
  3. Step 3: Cross multiply
    13,838.95x = 20,754.58 × 3,841.40
  4. Step 4: Simplify right side
    13,838.95x = 79,726,530.24
  5. Step 5: Solve for x
    x = 79,726,530.24/13,838.95
  6. Step 6: Final answer
    x = 5,761.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.