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Finding the Fourth Proportional to 13,916.50, 20,840.12 and 9,736.94

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Solution

The fourth proportional to 13,916.50, 20,840.12 and 9,736.94 is: 14,581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.50 : 20,840.12 = 9,736.94 : x
  2. Step 2: Convert to fraction form
    13,916.50/20,840.12 = 9,736.94/x
  3. Step 3: Cross multiply
    13,916.50x = 20,840.12 × 9,736.94
  4. Step 4: Simplify right side
    13,916.50x = 202,918,998.03
  5. Step 5: Solve for x
    x = 202,918,998.03/13,916.50
  6. Step 6: Final answer
    x = 14,581.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.