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Finding the Fourth Proportional to 15,906.78, 23,845.32 and 7,582.68

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Solution

The fourth proportional to 15,906.78, 23,845.32 and 7,582.68 is: 11,366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.78 : 23,845.32 = 7,582.68 : x
  2. Step 2: Convert to fraction form
    15,906.78/23,845.32 = 7,582.68/x
  3. Step 3: Cross multiply
    15,906.78x = 23,845.32 × 7,582.68
  4. Step 4: Simplify right side
    15,906.78x = 180,811,431.06
  5. Step 5: Solve for x
    x = 180,811,431.06/15,906.78
  6. Step 6: Final answer
    x = 11,366.94

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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.