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Finding the Fourth Proportional to 17,647.98, 26,476.56 and 6,557.87

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Solution

The fourth proportional to 17,647.98, 26,476.56 and 6,557.87 is: 9,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.98 : 26,476.56 = 6,557.87 : x
  2. Step 2: Convert to fraction form
    17,647.98/26,476.56 = 6,557.87/x
  3. Step 3: Cross multiply
    17,647.98x = 26,476.56 × 6,557.87
  4. Step 4: Simplify right side
    17,647.98x = 173,629,706.14
  5. Step 5: Solve for x
    x = 173,629,706.14/17,647.98
  6. Step 6: Final answer
    x = 9,838.50

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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.