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Finding the Fourth Proportional to 23,466, 35,198.63 and 5,696.81

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Solution

The fourth proportional to 23,466, 35,198.63 and 5,696.81 is: 8,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466 : 35,198.63 = 5,696.81 : x
  2. Step 2: Convert to fraction form
    23,466/35,198.63 = 5,696.81/x
  3. Step 3: Cross multiply
    23,466x = 35,198.63 × 5,696.81
  4. Step 4: Simplify right side
    23,466x = 200,519,702.89
  5. Step 5: Solve for x
    x = 200,519,702.89/23,466
  6. Step 6: Final answer
    x = 8,545.12

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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.