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Finding the Fourth Proportional to 17,184.88, 25,762.60 and 7,821.55

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Solution

The fourth proportional to 17,184.88, 25,762.60 and 7,821.55 is: 11,725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,184.88 : 25,762.60 = 7,821.55 : x
  2. Step 2: Convert to fraction form
    17,184.88/25,762.60 = 7,821.55/x
  3. Step 3: Cross multiply
    17,184.88x = 25,762.60 × 7,821.55
  4. Step 4: Simplify right side
    17,184.88x = 201,503,335.22
  5. Step 5: Solve for x
    x = 201,503,335.22/17,184.88
  6. Step 6: Final answer
    x = 11,725.62

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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.