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Finding the Fourth Proportional to 13,809.96, 20,716.92 and 5,042.76

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Solution

The fourth proportional to 13,809.96, 20,716.92 and 5,042.76 is: 7,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.96 : 20,716.92 = 5,042.76 : x
  2. Step 2: Convert to fraction form
    13,809.96/20,716.92 = 5,042.76/x
  3. Step 3: Cross multiply
    13,809.96x = 20,716.92 × 5,042.76
  4. Step 4: Simplify right side
    13,809.96x = 104,470,455.50
  5. Step 5: Solve for x
    x = 104,470,455.50/13,809.96
  6. Step 6: Final answer
    x = 7,564.86

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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.