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Finding the Fourth Proportional to 25,205.27, 37,807.89 and 7,675.25

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Solution

The fourth proportional to 25,205.27, 37,807.89 and 7,675.25 is: 11,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,205.27 : 37,807.89 = 7,675.25 : x
  2. Step 2: Convert to fraction form
    25,205.27/37,807.89 = 7,675.25/x
  3. Step 3: Cross multiply
    25,205.27x = 37,807.89 × 7,675.25
  4. Step 4: Simplify right side
    25,205.27x = 290,184,818.68
  5. Step 5: Solve for x
    x = 290,184,818.68/25,205.27
  6. Step 6: Final answer
    x = 11,512.87

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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.