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Finding the Fourth Proportional to 25,337.44, 37,993.26 and 13,498

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Solution

The fourth proportional to 25,337.44, 37,993.26 and 13,498 is: 20,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,337.44 : 37,993.26 = 13,498 : x
  2. Step 2: Convert to fraction form
    25,337.44/37,993.26 = 13,498/x
  3. Step 3: Cross multiply
    25,337.44x = 37,993.26 × 13,498
  4. Step 4: Simplify right side
    25,337.44x = 512,833,023.48
  5. Step 5: Solve for x
    x = 512,833,023.48/25,337.44
  6. Step 6: Final answer
    x = 20,240.13

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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.