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Finding the Fourth Proportional to 13,626.56, 18,805.10 and 7,658.07

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Solution

The fourth proportional to 13,626.56, 18,805.10 and 7,658.07 is: 10,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,626.56 : 18,805.10 = 7,658.07 : x
  2. Step 2: Convert to fraction form
    13,626.56/18,805.10 = 7,658.07/x
  3. Step 3: Cross multiply
    13,626.56x = 18,805.10 × 7,658.07
  4. Step 4: Simplify right side
    13,626.56x = 144,010,733.87
  5. Step 5: Solve for x
    x = 144,010,733.87/13,626.56
  6. Step 6: Final answer
    x = 10,568.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.