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Finding the Fourth Proportional to 25,338.44, 37,994.76 and 13,499

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Solution

The fourth proportional to 25,338.44, 37,994.76 and 13,499 is: 20,241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,338.44 : 37,994.76 = 13,499 : x
  2. Step 2: Convert to fraction form
    25,338.44/37,994.76 = 13,499/x
  3. Step 3: Cross multiply
    25,338.44x = 37,994.76 × 13,499
  4. Step 4: Simplify right side
    25,338.44x = 512,891,265.24
  5. Step 5: Solve for x
    x = 512,891,265.24/25,338.44
  6. Step 6: Final answer
    x = 20,241.63

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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.