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Finding the Fourth Proportional to 25,176.34, 37,756.78 and 8,306.23

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Solution

The fourth proportional to 25,176.34, 37,756.78 and 8,306.23 is: 12,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,176.34 : 37,756.78 = 8,306.23 : x
  2. Step 2: Convert to fraction form
    25,176.34/37,756.78 = 8,306.23/x
  3. Step 3: Cross multiply
    25,176.34x = 37,756.78 × 8,306.23
  4. Step 4: Simplify right side
    25,176.34x = 313,616,660.38
  5. Step 5: Solve for x
    x = 313,616,660.38/25,176.34
  6. Step 6: Final answer
    x = 12,456.80

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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.