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Finding the Fourth Proportional to 13,802.94, 20,704.22 and 3,414.70

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Solution

The fourth proportional to 13,802.94, 20,704.22 and 3,414.70 is: 5,122.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.94 : 20,704.22 = 3,414.70 : x
  2. Step 2: Convert to fraction form
    13,802.94/20,704.22 = 3,414.70/x
  3. Step 3: Cross multiply
    13,802.94x = 20,704.22 × 3,414.70
  4. Step 4: Simplify right side
    13,802.94x = 70,698,700.03
  5. Step 5: Solve for x
    x = 70,698,700.03/13,802.94
  6. Step 6: Final answer
    x = 5,122.00

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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.