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Finding the Fourth Proportional to 17,185.46, 25,775.10 and 7,823.30

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Solution

The fourth proportional to 17,185.46, 25,775.10 and 7,823.30 is: 11,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,185.46 : 25,775.10 = 7,823.30 : x
  2. Step 2: Convert to fraction form
    17,185.46/25,775.10 = 7,823.30/x
  3. Step 3: Cross multiply
    17,185.46x = 25,775.10 × 7,823.30
  4. Step 4: Simplify right side
    17,185.46x = 201,646,339.83
  5. Step 5: Solve for x
    x = 201,646,339.83/17,185.46
  6. Step 6: Final answer
    x = 11,733.54

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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.