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Finding the Fourth Proportional to 23,907.88, 32,989.03 and 13,297.29

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Solution

The fourth proportional to 23,907.88, 32,989.03 and 13,297.29 is: 18,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,907.88 : 32,989.03 = 13,297.29 : x
  2. Step 2: Convert to fraction form
    23,907.88/32,989.03 = 13,297.29/x
  3. Step 3: Cross multiply
    23,907.88x = 32,989.03 × 13,297.29
  4. Step 4: Simplify right side
    23,907.88x = 438,664,698.73
  5. Step 5: Solve for x
    x = 438,664,698.73/23,907.88
  6. Step 6: Final answer
    x = 18,348.12

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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.