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Finding the Fourth Proportional to 25,833.41, 35,647.04 and 14,500.42

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Solution

The fourth proportional to 25,833.41, 35,647.04 and 14,500.42 is: 20,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,833.41 : 35,647.04 = 14,500.42 : x
  2. Step 2: Convert to fraction form
    25,833.41/35,647.04 = 14,500.42/x
  3. Step 3: Cross multiply
    25,833.41x = 35,647.04 × 14,500.42
  4. Step 4: Simplify right side
    25,833.41x = 516,896,917.33
  5. Step 5: Solve for x
    x = 516,896,917.33/25,833.41
  6. Step 6: Final answer
    x = 20,008.86

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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.