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Finding the Fourth Proportional to 23,504.61, 35,260.21 and 6,865.86

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Solution

The fourth proportional to 23,504.61, 35,260.21 and 6,865.86 is: 10,299.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,504.61 : 35,260.21 = 6,865.86 : x
  2. Step 2: Convert to fraction form
    23,504.61/35,260.21 = 6,865.86/x
  3. Step 3: Cross multiply
    23,504.61x = 35,260.21 × 6,865.86
  4. Step 4: Simplify right side
    23,504.61x = 242,091,806.24
  5. Step 5: Solve for x
    x = 242,091,806.24/23,504.61
  6. Step 6: Final answer
    x = 10,299.76

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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.