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Finding the Fourth Proportional to 23,992.76, 35,977.29 and 7,348.78

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Solution

The fourth proportional to 23,992.76, 35,977.29 and 7,348.78 is: 11,019.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,992.76 : 35,977.29 = 7,348.78 : x
  2. Step 2: Convert to fraction form
    23,992.76/35,977.29 = 7,348.78/x
  3. Step 3: Cross multiply
    23,992.76x = 35,977.29 × 7,348.78
  4. Step 4: Simplify right side
    23,992.76x = 264,389,024.92
  5. Step 5: Solve for x
    x = 264,389,024.92/23,992.76
  6. Step 6: Final answer
    x = 11,019.54

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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.