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Finding the Fourth Proportional to 17,684.34, 26,528.23 and 6,442.73

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Solution

The fourth proportional to 17,684.34, 26,528.23 and 6,442.73 is: 9,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.34 : 26,528.23 = 6,442.73 : x
  2. Step 2: Convert to fraction form
    17,684.34/26,528.23 = 6,442.73/x
  3. Step 3: Cross multiply
    17,684.34x = 26,528.23 × 6,442.73
  4. Step 4: Simplify right side
    17,684.34x = 170,914,173.05
  5. Step 5: Solve for x
    x = 170,914,173.05/17,684.34
  6. Step 6: Final answer
    x = 9,664.72

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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.