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Finding the Fourth Proportional to 13,802.09, 20,706.23 and 5,037.03

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Solution

The fourth proportional to 13,802.09, 20,706.23 and 5,037.03 is: 7,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.09 : 20,706.23 = 5,037.03 : x
  2. Step 2: Convert to fraction form
    13,802.09/20,706.23 = 5,037.03/x
  3. Step 3: Cross multiply
    13,802.09x = 20,706.23 × 5,037.03
  4. Step 4: Simplify right side
    13,802.09x = 104,297,914.29
  5. Step 5: Solve for x
    x = 104,297,914.29/13,802.09
  6. Step 6: Final answer
    x = 7,556.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.