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Finding the Fourth Proportional to 17,725.76, 26,596.32 and 9,508.16

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Solution

The fourth proportional to 17,725.76, 26,596.32 and 9,508.16 is: 14,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,725.76 : 26,596.32 = 9,508.16 : x
  2. Step 2: Convert to fraction form
    17,725.76/26,596.32 = 9,508.16/x
  3. Step 3: Cross multiply
    17,725.76x = 26,596.32 × 9,508.16
  4. Step 4: Simplify right side
    17,725.76x = 252,882,065.97
  5. Step 5: Solve for x
    x = 252,882,065.97/17,725.76
  6. Step 6: Final answer
    x = 14,266.36

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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.