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Finding the Fourth Proportional to 23,311.38, 34,935.93 and 8,506.38

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Solution

The fourth proportional to 23,311.38, 34,935.93 and 8,506.38 is: 12,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,311.38 : 34,935.93 = 8,506.38 : x
  2. Step 2: Convert to fraction form
    23,311.38/34,935.93 = 8,506.38/x
  3. Step 3: Cross multiply
    23,311.38x = 34,935.93 × 8,506.38
  4. Step 4: Simplify right side
    23,311.38x = 297,178,296.23
  5. Step 5: Solve for x
    x = 297,178,296.23/23,311.38
  6. Step 6: Final answer
    x = 12,748.21

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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.