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Finding the Fourth Proportional to 14,302.20, 19,736.82 and 8,334.12

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Solution

The fourth proportional to 14,302.20, 19,736.82 and 8,334.12 is: 11,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.20 : 19,736.82 = 8,334.12 : x
  2. Step 2: Convert to fraction form
    14,302.20/19,736.82 = 8,334.12/x
  3. Step 3: Cross multiply
    14,302.20x = 19,736.82 × 8,334.12
  4. Step 4: Simplify right side
    14,302.20x = 164,489,026.30
  5. Step 5: Solve for x
    x = 164,489,026.30/14,302.20
  6. Step 6: Final answer
    x = 11,500.96

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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.