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Finding the Fourth Proportional to 25,123.50, 37,658.97 and 8,477.82

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Solution

The fourth proportional to 25,123.50, 37,658.97 and 8,477.82 is: 12,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,123.50 : 37,658.97 = 8,477.82 : x
  2. Step 2: Convert to fraction form
    25,123.50/37,658.97 = 8,477.82/x
  3. Step 3: Cross multiply
    25,123.50x = 37,658.97 × 8,477.82
  4. Step 4: Simplify right side
    25,123.50x = 319,265,969.05
  5. Step 5: Solve for x
    x = 319,265,969.05/25,123.50
  6. Step 6: Final answer
    x = 12,707.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.