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Finding the Fourth Proportional to 13,783.26, 19,022.50 and 7,735.16

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Solution

The fourth proportional to 13,783.26, 19,022.50 and 7,735.16 is: 10,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.26 : 19,022.50 = 7,735.16 : x
  2. Step 2: Convert to fraction form
    13,783.26/19,022.50 = 7,735.16/x
  3. Step 3: Cross multiply
    13,783.26x = 19,022.50 × 7,735.16
  4. Step 4: Simplify right side
    13,783.26x = 147,142,081.10
  5. Step 5: Solve for x
    x = 147,142,081.10/13,783.26
  6. Step 6: Final answer
    x = 10,675.42

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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.