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Finding the Fourth Proportional to 23,103.76, 34,652.42 and 8,310.54

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Solution

The fourth proportional to 23,103.76, 34,652.42 and 8,310.54 is: 12,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.76 : 34,652.42 = 8,310.54 : x
  2. Step 2: Convert to fraction form
    23,103.76/34,652.42 = 8,310.54/x
  3. Step 3: Cross multiply
    23,103.76x = 34,652.42 × 8,310.54
  4. Step 4: Simplify right side
    23,103.76x = 287,980,322.51
  5. Step 5: Solve for x
    x = 287,980,322.51/23,103.76
  6. Step 6: Final answer
    x = 12,464.65

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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.