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Finding the Fourth Proportional to 24,765.72, 37,158.30 and 10,905

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Solution

The fourth proportional to 24,765.72, 37,158.30 and 10,905 is: 16,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765.72 : 37,158.30 = 10,905 : x
  2. Step 2: Convert to fraction form
    24,765.72/37,158.30 = 10,905/x
  3. Step 3: Cross multiply
    24,765.72x = 37,158.30 × 10,905
  4. Step 4: Simplify right side
    24,765.72x = 405,211,261.50
  5. Step 5: Solve for x
    x = 405,211,261.50/24,765.72
  6. Step 6: Final answer
    x = 16,361.78

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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.