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Finding the Fourth Proportional to 25,199.61, 37,788.49 and 7,665.39

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Solution

The fourth proportional to 25,199.61, 37,788.49 and 7,665.39 is: 11,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,199.61 : 37,788.49 = 7,665.39 : x
  2. Step 2: Convert to fraction form
    25,199.61/37,788.49 = 7,665.39/x
  3. Step 3: Cross multiply
    25,199.61x = 37,788.49 × 7,665.39
  4. Step 4: Simplify right side
    25,199.61x = 289,663,286.09
  5. Step 5: Solve for x
    x = 289,663,286.09/25,199.61
  6. Step 6: Final answer
    x = 11,494.76

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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.