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Finding the Fourth Proportional to 13,782.56, 19,021.64 and 7,815.28

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Solution

The fourth proportional to 13,782.56, 19,021.64 and 7,815.28 is: 10,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.56 : 19,021.64 = 7,815.28 : x
  2. Step 2: Convert to fraction form
    13,782.56/19,021.64 = 7,815.28/x
  3. Step 3: Cross multiply
    13,782.56x = 19,021.64 × 7,815.28
  4. Step 4: Simplify right side
    13,782.56x = 148,659,442.66
  5. Step 5: Solve for x
    x = 148,659,442.66/13,782.56
  6. Step 6: Final answer
    x = 10,786.05

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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.