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Finding the Fourth Proportional to 13,860.84, 20,794.26 and 5,096.36

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Solution

The fourth proportional to 13,860.84, 20,794.26 and 5,096.36 is: 7,645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860.84 : 20,794.26 = 5,096.36 : x
  2. Step 2: Convert to fraction form
    13,860.84/20,794.26 = 5,096.36/x
  3. Step 3: Cross multiply
    13,860.84x = 20,794.26 × 5,096.36
  4. Step 4: Simplify right side
    13,860.84x = 105,975,034.89
  5. Step 5: Solve for x
    x = 105,975,034.89/13,860.84
  6. Step 6: Final answer
    x = 7,645.64

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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.