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Finding the Fourth Proportional to 23,358.75, 32,235.82 and 13,286.93

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Solution

The fourth proportional to 23,358.75, 32,235.82 and 13,286.93 is: 18,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,358.75 : 32,235.82 = 13,286.93 : x
  2. Step 2: Convert to fraction form
    23,358.75/32,235.82 = 13,286.93/x
  3. Step 3: Cross multiply
    23,358.75x = 32,235.82 × 13,286.93
  4. Step 4: Simplify right side
    23,358.75x = 428,315,060.15
  5. Step 5: Solve for x
    x = 428,315,060.15/23,358.75
  6. Step 6: Final answer
    x = 18,336.39

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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.