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Finding the Fourth Proportional to 17,011, 23,497.48 and 11,696.58

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Solution

The fourth proportional to 17,011, 23,497.48 and 11,696.58 is: 16,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,011 : 23,497.48 = 11,696.58 : x
  2. Step 2: Convert to fraction form
    17,011/23,497.48 = 11,696.58/x
  3. Step 3: Cross multiply
    17,011x = 23,497.48 × 11,696.58
  4. Step 4: Simplify right side
    17,011x = 274,840,154.62
  5. Step 5: Solve for x
    x = 274,840,154.62/17,011
  6. Step 6: Final answer
    x = 16,156.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.