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Finding the Fourth Proportional to 14,401.97, 19,874.92 and 8,114.34

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Solution

The fourth proportional to 14,401.97, 19,874.92 and 8,114.34 is: 11,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401.97 : 19,874.92 = 8,114.34 : x
  2. Step 2: Convert to fraction form
    14,401.97/19,874.92 = 8,114.34/x
  3. Step 3: Cross multiply
    14,401.97x = 19,874.92 × 8,114.34
  4. Step 4: Simplify right side
    14,401.97x = 161,271,927.81
  5. Step 5: Solve for x
    x = 161,271,927.81/14,401.97
  6. Step 6: Final answer
    x = 11,197.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.