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Finding the Fourth Proportional to 22,151.52, 30,577.68 and 14,194.08

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Solution

The fourth proportional to 22,151.52, 30,577.68 and 14,194.08 is: 19,593.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,151.52 : 30,577.68 = 14,194.08 : x
  2. Step 2: Convert to fraction form
    22,151.52/30,577.68 = 14,194.08/x
  3. Step 3: Cross multiply
    22,151.52x = 30,577.68 × 14,194.08
  4. Step 4: Simplify right side
    22,151.52x = 434,022,036.13
  5. Step 5: Solve for x
    x = 434,022,036.13/22,151.52
  6. Step 6: Final answer
    x = 19,593.33

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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.