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Finding the Fourth Proportional to 23,523.38, 35,281.42 and 6,879.50

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Solution

The fourth proportional to 23,523.38, 35,281.42 and 6,879.50 is: 10,318.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.38 : 35,281.42 = 6,879.50 : x
  2. Step 2: Convert to fraction form
    23,523.38/35,281.42 = 6,879.50/x
  3. Step 3: Cross multiply
    23,523.38x = 35,281.42 × 6,879.50
  4. Step 4: Simplify right side
    23,523.38x = 242,718,528.89
  5. Step 5: Solve for x
    x = 242,718,528.89/23,523.38
  6. Step 6: Final answer
    x = 10,318.18

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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.