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Finding the Fourth Proportional to 23,245.38, 32,078.70 and 12,635.06

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Solution

The fourth proportional to 23,245.38, 32,078.70 and 12,635.06 is: 17,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,245.38 : 32,078.70 = 12,635.06 : x
  2. Step 2: Convert to fraction form
    23,245.38/32,078.70 = 12,635.06/x
  3. Step 3: Cross multiply
    23,245.38x = 32,078.70 × 12,635.06
  4. Step 4: Simplify right side
    23,245.38x = 405,316,138.83
  5. Step 5: Solve for x
    x = 405,316,138.83/23,245.38
  6. Step 6: Final answer
    x = 17,436.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.