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Finding the Fourth Proportional to 13,322.56, 19,986 and 5,003.68

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Solution

The fourth proportional to 13,322.56, 19,986 and 5,003.68 is: 7,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.56 : 19,986 = 5,003.68 : x
  2. Step 2: Convert to fraction form
    13,322.56/19,986 = 5,003.68/x
  3. Step 3: Cross multiply
    13,322.56x = 19,986 × 5,003.68
  4. Step 4: Simplify right side
    13,322.56x = 100,003,548.48
  5. Step 5: Solve for x
    x = 100,003,548.48/13,322.56
  6. Step 6: Final answer
    x = 7,506.33

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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.