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Finding the Fourth Proportional to 24,738.47, 37,107.20 and 6,018.61

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Solution

The fourth proportional to 24,738.47, 37,107.20 and 6,018.61 is: 9,027.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,738.47 : 37,107.20 = 6,018.61 : x
  2. Step 2: Convert to fraction form
    24,738.47/37,107.20 = 6,018.61/x
  3. Step 3: Cross multiply
    24,738.47x = 37,107.20 × 6,018.61
  4. Step 4: Simplify right side
    24,738.47x = 223,333,628.50
  5. Step 5: Solve for x
    x = 223,333,628.50/24,738.47
  6. Step 6: Final answer
    x = 9,027.79

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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.