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Finding the Fourth Proportional to 12,798.86, 19,190.37 and 4,998.50

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Solution

The fourth proportional to 12,798.86, 19,190.37 and 4,998.50 is: 7,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.86 : 19,190.37 = 4,998.50 : x
  2. Step 2: Convert to fraction form
    12,798.86/19,190.37 = 4,998.50/x
  3. Step 3: Cross multiply
    12,798.86x = 19,190.37 × 4,998.50
  4. Step 4: Simplify right side
    12,798.86x = 95,923,064.45
  5. Step 5: Solve for x
    x = 95,923,064.45/12,798.86
  6. Step 6: Final answer
    x = 7,494.66

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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.