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Finding the Fourth Proportional to 13,186.89, 19,782.14 and 4,419.81

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Solution

The fourth proportional to 13,186.89, 19,782.14 and 4,419.81 is: 6,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,186.89 : 19,782.14 = 4,419.81 : x
  2. Step 2: Convert to fraction form
    13,186.89/19,782.14 = 4,419.81/x
  3. Step 3: Cross multiply
    13,186.89x = 19,782.14 × 4,419.81
  4. Step 4: Simplify right side
    13,186.89x = 87,433,278.09
  5. Step 5: Solve for x
    x = 87,433,278.09/13,186.89
  6. Step 6: Final answer
    x = 6,630.32

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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.