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Finding the Fourth Proportional to 25,226.70, 37,806 and 9,635.82

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Solution

The fourth proportional to 25,226.70, 37,806 and 9,635.82 is: 14,440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,226.70 : 37,806 = 9,635.82 : x
  2. Step 2: Convert to fraction form
    25,226.70/37,806 = 9,635.82/x
  3. Step 3: Cross multiply
    25,226.70x = 37,806 × 9,635.82
  4. Step 4: Simplify right side
    25,226.70x = 364,291,810.92
  5. Step 5: Solve for x
    x = 364,291,810.92/25,226.70
  6. Step 6: Final answer
    x = 14,440.72

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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.