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Finding the Fourth Proportional to 25,739.48, 38,611.92 and 8,210

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Solution

The fourth proportional to 25,739.48, 38,611.92 and 8,210 is: 12,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,739.48 : 38,611.92 = 8,210 : x
  2. Step 2: Convert to fraction form
    25,739.48/38,611.92 = 8,210/x
  3. Step 3: Cross multiply
    25,739.48x = 38,611.92 × 8,210
  4. Step 4: Simplify right side
    25,739.48x = 317,003,863.20
  5. Step 5: Solve for x
    x = 317,003,863.20/25,739.48
  6. Step 6: Final answer
    x = 12,315.86

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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.