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Finding the Fourth Proportional to 25,333.89, 38,008.16 and 7,806.30

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Solution

The fourth proportional to 25,333.89, 38,008.16 and 7,806.30 is: 11,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,333.89 : 38,008.16 = 7,806.30 : x
  2. Step 2: Convert to fraction form
    25,333.89/38,008.16 = 7,806.30/x
  3. Step 3: Cross multiply
    25,333.89x = 38,008.16 × 7,806.30
  4. Step 4: Simplify right side
    25,333.89x = 296,703,099.41
  5. Step 5: Solve for x
    x = 296,703,099.41/25,333.89
  6. Step 6: Final answer
    x = 11,711.71

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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.