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Finding the Fourth Proportional to 25,297.83, 37,956.60 and 10,503

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Solution

The fourth proportional to 25,297.83, 37,956.60 and 10,503 is: 15,758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,297.83 : 37,956.60 = 10,503 : x
  2. Step 2: Convert to fraction form
    25,297.83/37,956.60 = 10,503/x
  3. Step 3: Cross multiply
    25,297.83x = 37,956.60 × 10,503
  4. Step 4: Simplify right side
    25,297.83x = 398,658,169.80
  5. Step 5: Solve for x
    x = 398,658,169.80/25,297.83
  6. Step 6: Final answer
    x = 15,758.59

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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.