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Finding the Fourth Proportional to 25,144.65, 37,721.81 and 8,507.35

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Solution

The fourth proportional to 25,144.65, 37,721.81 and 8,507.35 is: 12,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,144.65 : 37,721.81 = 8,507.35 : x
  2. Step 2: Convert to fraction form
    25,144.65/37,721.81 = 8,507.35/x
  3. Step 3: Cross multiply
    25,144.65x = 37,721.81 × 8,507.35
  4. Step 4: Simplify right side
    25,144.65x = 320,912,640.30
  5. Step 5: Solve for x
    x = 320,912,640.30/25,144.65
  6. Step 6: Final answer
    x = 12,762.66

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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.