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Finding the Fourth Proportional to 13,815.90, 19,065.36 and 7,847.54

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Solution

The fourth proportional to 13,815.90, 19,065.36 and 7,847.54 is: 10,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.90 : 19,065.36 = 7,847.54 : x
  2. Step 2: Convert to fraction form
    13,815.90/19,065.36 = 7,847.54/x
  3. Step 3: Cross multiply
    13,815.90x = 19,065.36 × 7,847.54
  4. Step 4: Simplify right side
    13,815.90x = 149,616,175.21
  5. Step 5: Solve for x
    x = 149,616,175.21/13,815.90
  6. Step 6: Final answer
    x = 10,829.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.