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Finding the Fourth Proportional to 25,652.69, 38,485.18 and 8,122.52

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Solution

The fourth proportional to 25,652.69, 38,485.18 and 8,122.52 is: 12,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,652.69 : 38,485.18 = 8,122.52 : x
  2. Step 2: Convert to fraction form
    25,652.69/38,485.18 = 8,122.52/x
  3. Step 3: Cross multiply
    25,652.69x = 38,485.18 × 8,122.52
  4. Step 4: Simplify right side
    25,652.69x = 312,596,644.25
  5. Step 5: Solve for x
    x = 312,596,644.25/25,652.69
  6. Step 6: Final answer
    x = 12,185.73

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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.