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Finding the Fourth Proportional to 17,243.68, 25,865.70 and 13,802.80

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Solution

The fourth proportional to 17,243.68, 25,865.70 and 13,802.80 is: 20,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,243.68 : 25,865.70 = 13,802.80 : x
  2. Step 2: Convert to fraction form
    17,243.68/25,865.70 = 13,802.80/x
  3. Step 3: Cross multiply
    17,243.68x = 25,865.70 × 13,802.80
  4. Step 4: Simplify right side
    17,243.68x = 357,019,083.96
  5. Step 5: Solve for x
    x = 357,019,083.96/17,243.68
  6. Step 6: Final answer
    x = 20,704.34

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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.