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Finding the Fourth Proportional to 13,184.88, 19,776.86 and 4,419.56

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Solution

The fourth proportional to 13,184.88, 19,776.86 and 4,419.56 is: 6,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.88 : 19,776.86 = 4,419.56 : x
  2. Step 2: Convert to fraction form
    13,184.88/19,776.86 = 4,419.56/x
  3. Step 3: Cross multiply
    13,184.88x = 19,776.86 × 4,419.56
  4. Step 4: Simplify right side
    13,184.88x = 87,405,063.30
  5. Step 5: Solve for x
    x = 87,405,063.30/13,184.88
  6. Step 6: Final answer
    x = 6,629.19

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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.