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Finding the Fourth Proportional to 17,823, 26,734.50 and 5,511

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Solution

The fourth proportional to 17,823, 26,734.50 and 5,511 is: 8,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823 : 26,734.50 = 5,511 : x
  2. Step 2: Convert to fraction form
    17,823/26,734.50 = 5,511/x
  3. Step 3: Cross multiply
    17,823x = 26,734.50 × 5,511
  4. Step 4: Simplify right side
    17,823x = 147,333,829.50
  5. Step 5: Solve for x
    x = 147,333,829.50/17,823
  6. Step 6: Final answer
    x = 8,266.50

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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.