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Finding the Fourth Proportional to 13,699.76, 20,550.54 and 4,814.01

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Solution

The fourth proportional to 13,699.76, 20,550.54 and 4,814.01 is: 7,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.76 : 20,550.54 = 4,814.01 : x
  2. Step 2: Convert to fraction form
    13,699.76/20,550.54 = 4,814.01/x
  3. Step 3: Cross multiply
    13,699.76x = 20,550.54 × 4,814.01
  4. Step 4: Simplify right side
    13,699.76x = 98,930,505.07
  5. Step 5: Solve for x
    x = 98,930,505.07/13,699.76
  6. Step 6: Final answer
    x = 7,221.33

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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.