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Finding the Fourth Proportional to 25,122.78, 37,657.82 and 8,477.07

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Solution

The fourth proportional to 25,122.78, 37,657.82 and 8,477.07 is: 12,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,122.78 : 37,657.82 = 8,477.07 : x
  2. Step 2: Convert to fraction form
    25,122.78/37,657.82 = 8,477.07/x
  3. Step 3: Cross multiply
    25,122.78x = 37,657.82 × 8,477.07
  4. Step 4: Simplify right side
    25,122.78x = 319,227,933.80
  5. Step 5: Solve for x
    x = 319,227,933.80/25,122.78
  6. Step 6: Final answer
    x = 12,706.71

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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.