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Finding the Fourth Proportional to 24,571.68, 36,848.17 and 8,773.77

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Solution

The fourth proportional to 24,571.68, 36,848.17 and 8,773.77 is: 13,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,571.68 : 36,848.17 = 8,773.77 : x
  2. Step 2: Convert to fraction form
    24,571.68/36,848.17 = 8,773.77/x
  3. Step 3: Cross multiply
    24,571.68x = 36,848.17 × 8,773.77
  4. Step 4: Simplify right side
    24,571.68x = 323,297,261.03
  5. Step 5: Solve for x
    x = 323,297,261.03/24,571.68
  6. Step 6: Final answer
    x = 13,157.31

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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.