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Finding the Fourth Proportional to 17,584.50, 24,266.62 and 9,627.23

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Solution

The fourth proportional to 17,584.50, 24,266.62 and 9,627.23 is: 13,285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.50 : 24,266.62 = 9,627.23 : x
  2. Step 2: Convert to fraction form
    17,584.50/24,266.62 = 9,627.23/x
  3. Step 3: Cross multiply
    17,584.50x = 24,266.62 × 9,627.23
  4. Step 4: Simplify right side
    17,584.50x = 233,620,404.76
  5. Step 5: Solve for x
    x = 233,620,404.76/17,584.50
  6. Step 6: Final answer
    x = 13,285.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.