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Finding the Fourth Proportional to 23,900.88, 32,982.44 and 13,290.33

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Solution

The fourth proportional to 23,900.88, 32,982.44 and 13,290.33 is: 18,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,900.88 : 32,982.44 = 13,290.33 : x
  2. Step 2: Convert to fraction form
    23,900.88/32,982.44 = 13,290.33/x
  3. Step 3: Cross multiply
    23,900.88x = 32,982.44 × 13,290.33
  4. Step 4: Simplify right side
    23,900.88x = 438,347,445.35
  5. Step 5: Solve for x
    x = 438,347,445.35/23,900.88
  6. Step 6: Final answer
    x = 18,340.22

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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.