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Finding the Fourth Proportional to 23,446.65, 35,169.82 and 5,916.49

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Solution

The fourth proportional to 23,446.65, 35,169.82 and 5,916.49 is: 8,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,446.65 : 35,169.82 = 5,916.49 : x
  2. Step 2: Convert to fraction form
    23,446.65/35,169.82 = 5,916.49/x
  3. Step 3: Cross multiply
    23,446.65x = 35,169.82 × 5,916.49
  4. Step 4: Simplify right side
    23,446.65x = 208,081,858.75
  5. Step 5: Solve for x
    x = 208,081,858.75/23,446.65
  6. Step 6: Final answer
    x = 8,874.70

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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.