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Finding the Fourth Proportional to 13,868.69, 20,802.42 and 3,873.49

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Solution

The fourth proportional to 13,868.69, 20,802.42 and 3,873.49 is: 5,810.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.69 : 20,802.42 = 3,873.49 : x
  2. Step 2: Convert to fraction form
    13,868.69/20,802.42 = 3,873.49/x
  3. Step 3: Cross multiply
    13,868.69x = 20,802.42 × 3,873.49
  4. Step 4: Simplify right side
    13,868.69x = 80,577,913.84
  5. Step 5: Solve for x
    x = 80,577,913.84/13,868.69
  6. Step 6: Final answer
    x = 5,810.06

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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.