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Finding the Fourth Proportional to 17,706.44, 26,564 and 5,394.44

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Solution

The fourth proportional to 17,706.44, 26,564 and 5,394.44 is: 8,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.44 : 26,564 = 5,394.44 : x
  2. Step 2: Convert to fraction form
    17,706.44/26,564 = 5,394.44/x
  3. Step 3: Cross multiply
    17,706.44x = 26,564 × 5,394.44
  4. Step 4: Simplify right side
    17,706.44x = 143,297,904.16
  5. Step 5: Solve for x
    x = 143,297,904.16/17,706.44
  6. Step 6: Final answer
    x = 8,092.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.