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Finding the Fourth Proportional to 14,912.10, 22,351.68 and 8,334.90

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Solution

The fourth proportional to 14,912.10, 22,351.68 and 8,334.90 is: 12,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.10 : 22,351.68 = 8,334.90 : x
  2. Step 2: Convert to fraction form
    14,912.10/22,351.68 = 8,334.90/x
  3. Step 3: Cross multiply
    14,912.10x = 22,351.68 × 8,334.90
  4. Step 4: Simplify right side
    14,912.10x = 186,299,017.63
  5. Step 5: Solve for x
    x = 186,299,017.63/14,912.10
  6. Step 6: Final answer
    x = 12,493.14

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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.