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Finding the Fourth Proportional to 13,804.13, 19,049.64 and 7,516.37

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Solution

The fourth proportional to 13,804.13, 19,049.64 and 7,516.37 is: 10,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.13 : 19,049.64 = 7,516.37 : x
  2. Step 2: Convert to fraction form
    13,804.13/19,049.64 = 7,516.37/x
  3. Step 3: Cross multiply
    13,804.13x = 19,049.64 × 7,516.37
  4. Step 4: Simplify right side
    13,804.13x = 143,184,142.61
  5. Step 5: Solve for x
    x = 143,184,142.61/13,804.13
  6. Step 6: Final answer
    x = 10,372.56

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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.