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Finding the Fourth Proportional to 25,322.86, 37,928.13 and 20,380.06

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Solution

The fourth proportional to 25,322.86, 37,928.13 and 20,380.06 is: 30,524.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,322.86 : 37,928.13 = 20,380.06 : x
  2. Step 2: Convert to fraction form
    25,322.86/37,928.13 = 20,380.06/x
  3. Step 3: Cross multiply
    25,322.86x = 37,928.13 × 20,380.06
  4. Step 4: Simplify right side
    25,322.86x = 772,977,565.09
  5. Step 5: Solve for x
    x = 772,977,565.09/25,322.86
  6. Step 6: Final answer
    x = 30,524.89

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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.