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Finding the Fourth Proportional to 15,998.70, 23,998.17 and 6,135.63

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Solution

The fourth proportional to 15,998.70, 23,998.17 and 6,135.63 is: 9,203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998.70 : 23,998.17 = 6,135.63 : x
  2. Step 2: Convert to fraction form
    15,998.70/23,998.17 = 6,135.63/x
  3. Step 3: Cross multiply
    15,998.70x = 23,998.17 × 6,135.63
  4. Step 4: Simplify right side
    15,998.70x = 147,243,891.80
  5. Step 5: Solve for x
    x = 147,243,891.80/15,998.70
  6. Step 6: Final answer
    x = 9,203.49

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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.