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Finding the Fourth Proportional to 23,675.88, 32,671.62 and 13,063.80

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Solution

The fourth proportional to 23,675.88, 32,671.62 and 13,063.80 is: 18,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,675.88 : 32,671.62 = 13,063.80 : x
  2. Step 2: Convert to fraction form
    23,675.88/32,671.62 = 13,063.80/x
  3. Step 3: Cross multiply
    23,675.88x = 32,671.62 × 13,063.80
  4. Step 4: Simplify right side
    23,675.88x = 426,815,509.36
  5. Step 5: Solve for x
    x = 426,815,509.36/23,675.88
  6. Step 6: Final answer
    x = 18,027.44

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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.