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Finding the Fourth Proportional to 12,884.10, 19,296.81 and 7,679.22

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Solution

The fourth proportional to 12,884.10, 19,296.81 and 7,679.22 is: 11,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.10 : 19,296.81 = 7,679.22 : x
  2. Step 2: Convert to fraction form
    12,884.10/19,296.81 = 7,679.22/x
  3. Step 3: Cross multiply
    12,884.10x = 19,296.81 × 7,679.22
  4. Step 4: Simplify right side
    12,884.10x = 148,184,449.29
  5. Step 5: Solve for x
    x = 148,184,449.29/12,884.10
  6. Step 6: Final answer
    x = 11,501.34

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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.