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Finding the Fourth Proportional to 14,194.80, 19,587.42 and 7,906.50

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Solution

The fourth proportional to 14,194.80, 19,587.42 and 7,906.50 is: 10,910.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.80 : 19,587.42 = 7,906.50 : x
  2. Step 2: Convert to fraction form
    14,194.80/19,587.42 = 7,906.50/x
  3. Step 3: Cross multiply
    14,194.80x = 19,587.42 × 7,906.50
  4. Step 4: Simplify right side
    14,194.80x = 154,867,936.23
  5. Step 5: Solve for x
    x = 154,867,936.23/14,194.80
  6. Step 6: Final answer
    x = 10,910.19

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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.