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Finding the Fourth Proportional to 25,523.73, 35,224.71 and 14,194.14

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Solution

The fourth proportional to 25,523.73, 35,224.71 and 14,194.14 is: 19,589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,523.73 : 35,224.71 = 14,194.14 : x
  2. Step 2: Convert to fraction form
    25,523.73/35,224.71 = 14,194.14/x
  3. Step 3: Cross multiply
    25,523.73x = 35,224.71 × 14,194.14
  4. Step 4: Simplify right side
    25,523.73x = 499,984,465.20
  5. Step 5: Solve for x
    x = 499,984,465.20/25,523.73
  6. Step 6: Final answer
    x = 19,589.00

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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.