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Finding the Fourth Proportional to 12,104.09, 18,146.11 and 4,606.09

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Solution

The fourth proportional to 12,104.09, 18,146.11 and 4,606.09 is: 6,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,104.09 : 18,146.11 = 4,606.09 : x
  2. Step 2: Convert to fraction form
    12,104.09/18,146.11 = 4,606.09/x
  3. Step 3: Cross multiply
    12,104.09x = 18,146.11 × 4,606.09
  4. Step 4: Simplify right side
    12,104.09x = 83,582,615.81
  5. Step 5: Solve for x
    x = 83,582,615.81/12,104.09
  6. Step 6: Final answer
    x = 6,905.32

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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.