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Finding the Fourth Proportional to 25,418.31, 38,110.44 and 9,817.71

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Solution

The fourth proportional to 25,418.31, 38,110.44 and 9,817.71 is: 14,719.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,418.31 : 38,110.44 = 9,817.71 : x
  2. Step 2: Convert to fraction form
    25,418.31/38,110.44 = 9,817.71/x
  3. Step 3: Cross multiply
    25,418.31x = 38,110.44 × 9,817.71
  4. Step 4: Simplify right side
    25,418.31x = 374,157,247.89
  5. Step 5: Solve for x
    x = 374,157,247.89/25,418.31
  6. Step 6: Final answer
    x = 14,719.99

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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.