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Finding the Fourth Proportional to 12,309.51, 18,466.89 and 5,642.79

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Solution

The fourth proportional to 12,309.51, 18,466.89 and 5,642.79 is: 8,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.51 : 18,466.89 = 5,642.79 : x
  2. Step 2: Convert to fraction form
    12,309.51/18,466.89 = 5,642.79/x
  3. Step 3: Cross multiply
    12,309.51x = 18,466.89 × 5,642.79
  4. Step 4: Simplify right side
    12,309.51x = 104,204,782.22
  5. Step 5: Solve for x
    x = 104,204,782.22/12,309.51
  6. Step 6: Final answer
    x = 8,465.39

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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.