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Finding the Fourth Proportional to 15,879.06, 23,814.44 and 7,542.50

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Solution

The fourth proportional to 15,879.06, 23,814.44 and 7,542.50 is: 11,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,879.06 : 23,814.44 = 7,542.50 : x
  2. Step 2: Convert to fraction form
    15,879.06/23,814.44 = 7,542.50/x
  3. Step 3: Cross multiply
    15,879.06x = 23,814.44 × 7,542.50
  4. Step 4: Simplify right side
    15,879.06x = 179,620,285.20
  5. Step 5: Solve for x
    x = 179,620,285.20/15,879.06
  6. Step 6: Final answer
    x = 11,311.77

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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.