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Finding the Fourth Proportional to 14,187.33, 19,577.10 and 8,220.97

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Solution

The fourth proportional to 14,187.33, 19,577.10 and 8,220.97 is: 11,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187.33 : 19,577.10 = 8,220.97 : x
  2. Step 2: Convert to fraction form
    14,187.33/19,577.10 = 8,220.97/x
  3. Step 3: Cross multiply
    14,187.33x = 19,577.10 × 8,220.97
  4. Step 4: Simplify right side
    14,187.33x = 160,942,751.79
  5. Step 5: Solve for x
    x = 160,942,751.79/14,187.33
  6. Step 6: Final answer
    x = 11,344.12

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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.