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Finding the Fourth Proportional to 24,656.40, 36,983.79 and 9,861.35

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Solution

The fourth proportional to 24,656.40, 36,983.79 and 9,861.35 is: 14,791.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656.40 : 36,983.79 = 9,861.35 : x
  2. Step 2: Convert to fraction form
    24,656.40/36,983.79 = 9,861.35/x
  3. Step 3: Cross multiply
    24,656.40x = 36,983.79 × 9,861.35
  4. Step 4: Simplify right side
    24,656.40x = 364,709,912.60
  5. Step 5: Solve for x
    x = 364,709,912.60/24,656.40
  6. Step 6: Final answer
    x = 14,791.69

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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.