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Finding the Fourth Proportional to 23,847, 32,907.96 and 13,235.88

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Solution

The fourth proportional to 23,847, 32,907.96 and 13,235.88 is: 18,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847 : 32,907.96 = 13,235.88 : x
  2. Step 2: Convert to fraction form
    23,847/32,907.96 = 13,235.88/x
  3. Step 3: Cross multiply
    23,847x = 32,907.96 × 13,235.88
  4. Step 4: Simplify right side
    23,847x = 435,565,809.60
  5. Step 5: Solve for x
    x = 435,565,809.60/23,847
  6. Step 6: Final answer
    x = 18,265.01

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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.