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Finding the Fourth Proportional to 21,481.88, 32,219.04 and 5,897.48

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Solution

The fourth proportional to 21,481.88, 32,219.04 and 5,897.48 is: 8,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,481.88 : 32,219.04 = 5,897.48 : x
  2. Step 2: Convert to fraction form
    21,481.88/32,219.04 = 5,897.48/x
  3. Step 3: Cross multiply
    21,481.88x = 32,219.04 × 5,897.48
  4. Step 4: Simplify right side
    21,481.88x = 190,011,144.02
  5. Step 5: Solve for x
    x = 190,011,144.02/21,481.88
  6. Step 6: Final answer
    x = 8,845.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.