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Finding the Fourth Proportional to 25,454.28, 38,199.92 and 19,222

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Solution

The fourth proportional to 25,454.28, 38,199.92 and 19,222 is: 28,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,454.28 : 38,199.92 = 19,222 : x
  2. Step 2: Convert to fraction form
    25,454.28/38,199.92 = 19,222/x
  3. Step 3: Cross multiply
    25,454.28x = 38,199.92 × 19,222
  4. Step 4: Simplify right side
    25,454.28x = 734,278,862.24
  5. Step 5: Solve for x
    x = 734,278,862.24/25,454.28
  6. Step 6: Final answer
    x = 28,846.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.