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Finding the Fourth Proportional to 15,983.68, 23,978.96 and 6,122.94

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Solution

The fourth proportional to 15,983.68, 23,978.96 and 6,122.94 is: 9,185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,983.68 : 23,978.96 = 6,122.94 : x
  2. Step 2: Convert to fraction form
    15,983.68/23,978.96 = 6,122.94/x
  3. Step 3: Cross multiply
    15,983.68x = 23,978.96 × 6,122.94
  4. Step 4: Simplify right side
    15,983.68x = 146,821,733.34
  5. Step 5: Solve for x
    x = 146,821,733.34/15,983.68
  6. Step 6: Final answer
    x = 9,185.73

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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.