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Finding the Fourth Proportional to 23,381.50, 35,086.22 and 8,591.91

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Solution

The fourth proportional to 23,381.50, 35,086.22 and 8,591.91 is: 12,893.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,381.50 : 35,086.22 = 8,591.91 : x
  2. Step 2: Convert to fraction form
    23,381.50/35,086.22 = 8,591.91/x
  3. Step 3: Cross multiply
    23,381.50x = 35,086.22 × 8,591.91
  4. Step 4: Simplify right side
    23,381.50x = 301,457,513.81
  5. Step 5: Solve for x
    x = 301,457,513.81/23,381.50
  6. Step 6: Final answer
    x = 12,893.00

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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.