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Finding the Fourth Proportional to 12,423.36, 18,633.60 and 6,802.72

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Solution

The fourth proportional to 12,423.36, 18,633.60 and 6,802.72 is: 10,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.36 : 18,633.60 = 6,802.72 : x
  2. Step 2: Convert to fraction form
    12,423.36/18,633.60 = 6,802.72/x
  3. Step 3: Cross multiply
    12,423.36x = 18,633.60 × 6,802.72
  4. Step 4: Simplify right side
    12,423.36x = 126,759,163.39
  5. Step 5: Solve for x
    x = 126,759,163.39/12,423.36
  6. Step 6: Final answer
    x = 10,203.29

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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.