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Finding the Fourth Proportional to 25,349.75, 38,024.63 and 6,881.75

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Solution

The fourth proportional to 25,349.75, 38,024.63 and 6,881.75 is: 10,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,349.75 : 38,024.63 = 6,881.75 : x
  2. Step 2: Convert to fraction form
    25,349.75/38,024.63 = 6,881.75/x
  3. Step 3: Cross multiply
    25,349.75x = 38,024.63 × 6,881.75
  4. Step 4: Simplify right side
    25,349.75x = 261,675,997.50
  5. Step 5: Solve for x
    x = 261,675,997.50/25,349.75
  6. Step 6: Final answer
    x = 10,322.63

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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.