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Finding the Fourth Proportional to 25,597.88, 38,391.06 and 9,181.88

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Solution

The fourth proportional to 25,597.88, 38,391.06 and 9,181.88 is: 13,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597.88 : 38,391.06 = 9,181.88 : x
  2. Step 2: Convert to fraction form
    25,597.88/38,391.06 = 9,181.88/x
  3. Step 3: Cross multiply
    25,597.88x = 38,391.06 × 9,181.88
  4. Step 4: Simplify right side
    25,597.88x = 352,502,105.99
  5. Step 5: Solve for x
    x = 352,502,105.99/25,597.88
  6. Step 6: Final answer
    x = 13,770.75

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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.