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Finding the Fourth Proportional to 25,571.24, 38,362.90 and 8,041.07

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Solution

The fourth proportional to 25,571.24, 38,362.90 and 8,041.07 is: 12,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,571.24 : 38,362.90 = 8,041.07 : x
  2. Step 2: Convert to fraction form
    25,571.24/38,362.90 = 8,041.07/x
  3. Step 3: Cross multiply
    25,571.24x = 38,362.90 × 8,041.07
  4. Step 4: Simplify right side
    25,571.24x = 308,478,764.30
  5. Step 5: Solve for x
    x = 308,478,764.30/25,571.24
  6. Step 6: Final answer
    x = 12,063.50

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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.