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Finding the Fourth Proportional to 17,689, 26,533.50 and 5,377

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Solution

The fourth proportional to 17,689, 26,533.50 and 5,377 is: 8,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689 : 26,533.50 = 5,377 : x
  2. Step 2: Convert to fraction form
    17,689/26,533.50 = 5,377/x
  3. Step 3: Cross multiply
    17,689x = 26,533.50 × 5,377
  4. Step 4: Simplify right side
    17,689x = 142,670,629.50
  5. Step 5: Solve for x
    x = 142,670,629.50/17,689
  6. Step 6: Final answer
    x = 8,065.50

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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.