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Finding the Fourth Proportional to 25,773.14, 35,547.22 and 22,194.29

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Solution

The fourth proportional to 25,773.14, 35,547.22 and 22,194.29 is: 30,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773.14 : 35,547.22 = 22,194.29 : x
  2. Step 2: Convert to fraction form
    25,773.14/35,547.22 = 22,194.29/x
  3. Step 3: Cross multiply
    25,773.14x = 35,547.22 × 22,194.29
  4. Step 4: Simplify right side
    25,773.14x = 788,945,309.37
  5. Step 5: Solve for x
    x = 788,945,309.37/25,773.14
  6. Step 6: Final answer
    x = 30,611.14

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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.