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Finding the Fourth Proportional to 25,994.34, 38,991.48 and 10,422.90

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Solution

The fourth proportional to 25,994.34, 38,991.48 and 10,422.90 is: 15,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994.34 : 38,991.48 = 10,422.90 : x
  2. Step 2: Convert to fraction form
    25,994.34/38,991.48 = 10,422.90/x
  3. Step 3: Cross multiply
    25,994.34x = 38,991.48 × 10,422.90
  4. Step 4: Simplify right side
    25,994.34x = 406,404,296.89
  5. Step 5: Solve for x
    x = 406,404,296.89/25,994.34
  6. Step 6: Final answer
    x = 15,634.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.