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Finding the Fourth Proportional to 13,874.82, 20,802.50 and 5,108.58

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Solution

The fourth proportional to 13,874.82, 20,802.50 and 5,108.58 is: 7,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.82 : 20,802.50 = 5,108.58 : x
  2. Step 2: Convert to fraction form
    13,874.82/20,802.50 = 5,108.58/x
  3. Step 3: Cross multiply
    13,874.82x = 20,802.50 × 5,108.58
  4. Step 4: Simplify right side
    13,874.82x = 106,271,235.45
  5. Step 5: Solve for x
    x = 106,271,235.45/13,874.82
  6. Step 6: Final answer
    x = 7,659.29

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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.