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Finding the Fourth Proportional to 12,369.10, 18,541.23 and 6,133.63

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Solution

The fourth proportional to 12,369.10, 18,541.23 and 6,133.63 is: 9,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369.10 : 18,541.23 = 6,133.63 : x
  2. Step 2: Convert to fraction form
    12,369.10/18,541.23 = 6,133.63/x
  3. Step 3: Cross multiply
    12,369.10x = 18,541.23 × 6,133.63
  4. Step 4: Simplify right side
    12,369.10x = 113,725,044.56
  5. Step 5: Solve for x
    x = 113,725,044.56/12,369.10
  6. Step 6: Final answer
    x = 9,194.29

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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.