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Finding the Fourth Proportional to 13,803.78, 20,693.25 and 5,032.56

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Solution

The fourth proportional to 13,803.78, 20,693.25 and 5,032.56 is: 7,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.78 : 20,693.25 = 5,032.56 : x
  2. Step 2: Convert to fraction form
    13,803.78/20,693.25 = 5,032.56/x
  3. Step 3: Cross multiply
    13,803.78x = 20,693.25 × 5,032.56
  4. Step 4: Simplify right side
    13,803.78x = 104,140,022.22
  5. Step 5: Solve for x
    x = 104,140,022.22/13,803.78
  6. Step 6: Final answer
    x = 7,544.31

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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.