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Finding the Fourth Proportional to 25,881.41, 38,820.74 and 8,351.24

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Solution

The fourth proportional to 25,881.41, 38,820.74 and 8,351.24 is: 12,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,881.41 : 38,820.74 = 8,351.24 : x
  2. Step 2: Convert to fraction form
    25,881.41/38,820.74 = 8,351.24/x
  3. Step 3: Cross multiply
    25,881.41x = 38,820.74 × 8,351.24
  4. Step 4: Simplify right side
    25,881.41x = 324,201,080.86
  5. Step 5: Solve for x
    x = 324,201,080.86/25,881.41
  6. Step 6: Final answer
    x = 12,526.41

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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.