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Finding the Fourth Proportional to 13,771.81, 19,004.48 and 7,803.36

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Solution

The fourth proportional to 13,771.81, 19,004.48 and 7,803.36 is: 10,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.81 : 19,004.48 = 7,803.36 : x
  2. Step 2: Convert to fraction form
    13,771.81/19,004.48 = 7,803.36/x
  3. Step 3: Cross multiply
    13,771.81x = 19,004.48 × 7,803.36
  4. Step 4: Simplify right side
    13,771.81x = 148,298,799.05
  5. Step 5: Solve for x
    x = 148,298,799.05/13,771.81
  6. Step 6: Final answer
    x = 10,768.29

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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.