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Finding the Fourth Proportional to 13,731, 20,600.60 and 9,736.08

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Solution

The fourth proportional to 13,731, 20,600.60 and 9,736.08 is: 14,607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,731 : 20,600.60 = 9,736.08 : x
  2. Step 2: Convert to fraction form
    13,731/20,600.60 = 9,736.08/x
  3. Step 3: Cross multiply
    13,731x = 20,600.60 × 9,736.08
  4. Step 4: Simplify right side
    13,731x = 200,569,089.65
  5. Step 5: Solve for x
    x = 200,569,089.65/13,731
  6. Step 6: Final answer
    x = 14,607.03

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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.