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Finding the Fourth Proportional to 17,657.64, 26,473.64 and 8,292.84

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Solution

The fourth proportional to 17,657.64, 26,473.64 and 8,292.84 is: 12,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.64 : 26,473.64 = 8,292.84 : x
  2. Step 2: Convert to fraction form
    17,657.64/26,473.64 = 8,292.84/x
  3. Step 3: Cross multiply
    17,657.64x = 26,473.64 × 8,292.84
  4. Step 4: Simplify right side
    17,657.64x = 219,541,660.74
  5. Step 5: Solve for x
    x = 219,541,660.74/17,657.64
  6. Step 6: Final answer
    x = 12,433.24

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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.