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Finding the Fourth Proportional to 15,887.50, 23,837.86 and 6,998.28

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Solution

The fourth proportional to 15,887.50, 23,837.86 and 6,998.28 is: 10,500.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887.50 : 23,837.86 = 6,998.28 : x
  2. Step 2: Convert to fraction form
    15,887.50/23,837.86 = 6,998.28/x
  3. Step 3: Cross multiply
    15,887.50x = 23,837.86 × 6,998.28
  4. Step 4: Simplify right side
    15,887.50x = 166,824,018.88
  5. Step 5: Solve for x
    x = 166,824,018.88/15,887.50
  6. Step 6: Final answer
    x = 10,500.33

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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.