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Finding the Fourth Proportional to 25,887.96, 38,839.23 and 8,357.94

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Solution

The fourth proportional to 25,887.96, 38,839.23 and 8,357.94 is: 12,539.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,887.96 : 38,839.23 = 8,357.94 : x
  2. Step 2: Convert to fraction form
    25,887.96/38,839.23 = 8,357.94/x
  3. Step 3: Cross multiply
    25,887.96x = 38,839.23 × 8,357.94
  4. Step 4: Simplify right side
    25,887.96x = 324,615,953.99
  5. Step 5: Solve for x
    x = 324,615,953.99/25,887.96
  6. Step 6: Final answer
    x = 12,539.26

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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.