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Finding the Fourth Proportional to 12,323.50, 18,478.76 and 6,083.26

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Solution

The fourth proportional to 12,323.50, 18,478.76 and 6,083.26 is: 9,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.50 : 18,478.76 = 6,083.26 : x
  2. Step 2: Convert to fraction form
    12,323.50/18,478.76 = 6,083.26/x
  3. Step 3: Cross multiply
    12,323.50x = 18,478.76 × 6,083.26
  4. Step 4: Simplify right side
    12,323.50x = 112,411,101.56
  5. Step 5: Solve for x
    x = 112,411,101.56/12,323.50
  6. Step 6: Final answer
    x = 9,121.69

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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.