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Finding the Fourth Proportional to 21,615.20, 32,404.80 and 9,144.80

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Solution

The fourth proportional to 21,615.20, 32,404.80 and 9,144.80 is: 13,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,615.20 : 32,404.80 = 9,144.80 : x
  2. Step 2: Convert to fraction form
    21,615.20/32,404.80 = 9,144.80/x
  3. Step 3: Cross multiply
    21,615.20x = 32,404.80 × 9,144.80
  4. Step 4: Simplify right side
    21,615.20x = 296,335,415.04
  5. Step 5: Solve for x
    x = 296,335,415.04/21,615.20
  6. Step 6: Final answer
    x = 13,709.58

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