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Finding the Fourth Proportional to 13,789.75, 20,684.64 and 3,401.50

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Solution

The fourth proportional to 13,789.75, 20,684.64 and 3,401.50 is: 5,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.75 : 20,684.64 = 3,401.50 : x
  2. Step 2: Convert to fraction form
    13,789.75/20,684.64 = 3,401.50/x
  3. Step 3: Cross multiply
    13,789.75x = 20,684.64 × 3,401.50
  4. Step 4: Simplify right side
    13,789.75x = 70,358,802.96
  5. Step 5: Solve for x
    x = 70,358,802.96/13,789.75
  6. Step 6: Final answer
    x = 5,102.25

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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.