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Finding the Fourth Proportional to 25,336.98, 38,009.57 and 7,806.82

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Solution

The fourth proportional to 25,336.98, 38,009.57 and 7,806.82 is: 11,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,336.98 : 38,009.57 = 7,806.82 : x
  2. Step 2: Convert to fraction form
    25,336.98/38,009.57 = 7,806.82/x
  3. Step 3: Cross multiply
    25,336.98x = 38,009.57 × 7,806.82
  4. Step 4: Simplify right side
    25,336.98x = 296,733,871.27
  5. Step 5: Solve for x
    x = 296,733,871.27/25,336.98
  6. Step 6: Final answer
    x = 11,711.49

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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.