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Finding the Fourth Proportional to 24,997.50, 37,477.74 and 15,134.46

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Solution

The fourth proportional to 24,997.50, 37,477.74 and 15,134.46 is: 22,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,997.50 : 37,477.74 = 15,134.46 : x
  2. Step 2: Convert to fraction form
    24,997.50/37,477.74 = 15,134.46/x
  3. Step 3: Cross multiply
    24,997.50x = 37,477.74 × 15,134.46
  4. Step 4: Simplify right side
    24,997.50x = 567,205,356.92
  5. Step 5: Solve for x
    x = 567,205,356.92/24,997.50
  6. Step 6: Final answer
    x = 22,690.48

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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.