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Finding the Fourth Proportional to 25,994.01, 38,991.01 and 10,206.48

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Solution

The fourth proportional to 25,994.01, 38,991.01 and 10,206.48 is: 15,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994.01 : 38,991.01 = 10,206.48 : x
  2. Step 2: Convert to fraction form
    25,994.01/38,991.01 = 10,206.48/x
  3. Step 3: Cross multiply
    25,994.01x = 38,991.01 × 10,206.48
  4. Step 4: Simplify right side
    25,994.01x = 397,960,963.74
  5. Step 5: Solve for x
    x = 397,960,963.74/25,994.01
  6. Step 6: Final answer
    x = 15,309.72

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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.