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Finding the Fourth Proportional to 12,309.64, 18,453.54 and 4,516.66

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Solution

The fourth proportional to 12,309.64, 18,453.54 and 4,516.66 is: 6,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.64 : 18,453.54 = 4,516.66 : x
  2. Step 2: Convert to fraction form
    12,309.64/18,453.54 = 4,516.66/x
  3. Step 3: Cross multiply
    12,309.64x = 18,453.54 × 4,516.66
  4. Step 4: Simplify right side
    12,309.64x = 83,348,365.98
  5. Step 5: Solve for x
    x = 83,348,365.98/12,309.64
  6. Step 6: Final answer
    x = 6,770.98

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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.