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Finding the Fourth Proportional to 24,919.56, 37,372 and 9,333.54

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Solution

The fourth proportional to 24,919.56, 37,372 and 9,333.54 is: 13,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,919.56 : 37,372 = 9,333.54 : x
  2. Step 2: Convert to fraction form
    24,919.56/37,372 = 9,333.54/x
  3. Step 3: Cross multiply
    24,919.56x = 37,372 × 9,333.54
  4. Step 4: Simplify right side
    24,919.56x = 348,813,056.88
  5. Step 5: Solve for x
    x = 348,813,056.88/24,919.56
  6. Step 6: Final answer
    x = 13,997.56

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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.