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Finding the Fourth Proportional to 25,597.38, 38,390.31 and 9,181.38

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Solution

The fourth proportional to 25,597.38, 38,390.31 and 9,181.38 is: 13,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597.38 : 38,390.31 = 9,181.38 : x
  2. Step 2: Convert to fraction form
    25,597.38/38,390.31 = 9,181.38/x
  3. Step 3: Cross multiply
    25,597.38x = 38,390.31 × 9,181.38
  4. Step 4: Simplify right side
    25,597.38x = 352,476,024.43
  5. Step 5: Solve for x
    x = 352,476,024.43/25,597.38
  6. Step 6: Final answer
    x = 13,770.00

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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.