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Finding the Fourth Proportional to 15,583.98, 23,376 and 6,819.57

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Solution

The fourth proportional to 15,583.98, 23,376 and 6,819.57 is: 10,229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,583.98 : 23,376 = 6,819.57 : x
  2. Step 2: Convert to fraction form
    15,583.98/23,376 = 6,819.57/x
  3. Step 3: Cross multiply
    15,583.98x = 23,376 × 6,819.57
  4. Step 4: Simplify right side
    15,583.98x = 159,414,268.32
  5. Step 5: Solve for x
    x = 159,414,268.32/15,583.98
  6. Step 6: Final answer
    x = 10,229.37

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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.