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Finding the Fourth Proportional to 17,014.20, 25,525.14 and 7,782.84

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Solution

The fourth proportional to 17,014.20, 25,525.14 and 7,782.84 is: 11,676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,014.20 : 25,525.14 = 7,782.84 : x
  2. Step 2: Convert to fraction form
    17,014.20/25,525.14 = 7,782.84/x
  3. Step 3: Cross multiply
    17,014.20x = 25,525.14 × 7,782.84
  4. Step 4: Simplify right side
    17,014.20x = 198,658,080.60
  5. Step 5: Solve for x
    x = 198,658,080.60/17,014.20
  6. Step 6: Final answer
    x = 11,676.02

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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.