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Finding the Fourth Proportional to 14,194.17, 19,587.96 and 8,229.30

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Solution

The fourth proportional to 14,194.17, 19,587.96 and 8,229.30 is: 11,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.17 : 19,587.96 = 8,229.30 : x
  2. Step 2: Convert to fraction form
    14,194.17/19,587.96 = 8,229.30/x
  3. Step 3: Cross multiply
    14,194.17x = 19,587.96 × 8,229.30
  4. Step 4: Simplify right side
    14,194.17x = 161,195,199.23
  5. Step 5: Solve for x
    x = 161,195,199.23/14,194.17
  6. Step 6: Final answer
    x = 11,356.44

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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.