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Finding the Fourth Proportional to 14,583.18, 20,122.62 and 8,208.84

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Solution

The fourth proportional to 14,583.18, 20,122.62 and 8,208.84 is: 11,326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.18 : 20,122.62 = 8,208.84 : x
  2. Step 2: Convert to fraction form
    14,583.18/20,122.62 = 8,208.84/x
  3. Step 3: Cross multiply
    14,583.18x = 20,122.62 × 8,208.84
  4. Step 4: Simplify right side
    14,583.18x = 165,183,367.96
  5. Step 5: Solve for x
    x = 165,183,367.96/14,583.18
  6. Step 6: Final answer
    x = 11,326.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.