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Finding the Fourth Proportional to 13,802.44, 20,703.47 and 3,414.20

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Solution

The fourth proportional to 13,802.44, 20,703.47 and 3,414.20 is: 5,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.44 : 20,703.47 = 3,414.20 : x
  2. Step 2: Convert to fraction form
    13,802.44/20,703.47 = 3,414.20/x
  3. Step 3: Cross multiply
    13,802.44x = 20,703.47 × 3,414.20
  4. Step 4: Simplify right side
    13,802.44x = 70,685,787.27
  5. Step 5: Solve for x
    x = 70,685,787.27/13,802.44
  6. Step 6: Final answer
    x = 5,121.25

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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.