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Finding the Fourth Proportional to 23,581.50, 35,381.68 and 8,589.66

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Solution

The fourth proportional to 23,581.50, 35,381.68 and 8,589.66 is: 12,887.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,581.50 : 35,381.68 = 8,589.66 : x
  2. Step 2: Convert to fraction form
    23,581.50/35,381.68 = 8,589.66/x
  3. Step 3: Cross multiply
    23,581.50x = 35,381.68 × 8,589.66
  4. Step 4: Simplify right side
    23,581.50x = 303,916,601.43
  5. Step 5: Solve for x
    x = 303,916,601.43/23,581.50
  6. Step 6: Final answer
    x = 12,887.92

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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.