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Finding the Fourth Proportional to 25,833.88, 35,642.90 and 15,219.64

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Solution

The fourth proportional to 25,833.88, 35,642.90 and 15,219.64 is: 20,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,833.88 : 35,642.90 = 15,219.64 : x
  2. Step 2: Convert to fraction form
    25,833.88/35,642.90 = 15,219.64/x
  3. Step 3: Cross multiply
    25,833.88x = 35,642.90 × 15,219.64
  4. Step 4: Simplify right side
    25,833.88x = 542,472,106.56
  5. Step 5: Solve for x
    x = 542,472,106.56/25,833.88
  6. Step 6: Final answer
    x = 20,998.48

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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.