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Finding the Fourth Proportional to 15,887.95, 23,834.99 and 7,992.19

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Solution

The fourth proportional to 15,887.95, 23,834.99 and 7,992.19 is: 11,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887.95 : 23,834.99 = 7,992.19 : x
  2. Step 2: Convert to fraction form
    15,887.95/23,834.99 = 7,992.19/x
  3. Step 3: Cross multiply
    15,887.95x = 23,834.99 × 7,992.19
  4. Step 4: Simplify right side
    15,887.95x = 190,493,818.50
  5. Step 5: Solve for x
    x = 190,493,818.50/15,887.95
  6. Step 6: Final answer
    x = 11,989.83

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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.