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Finding the Fourth Proportional to 13,514.68, 18,647.21 and 9,698.37

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Solution

The fourth proportional to 13,514.68, 18,647.21 and 9,698.37 is: 13,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.68 : 18,647.21 = 9,698.37 : x
  2. Step 2: Convert to fraction form
    13,514.68/18,647.21 = 9,698.37/x
  3. Step 3: Cross multiply
    13,514.68x = 18,647.21 × 9,698.37
  4. Step 4: Simplify right side
    13,514.68x = 180,847,496.37
  5. Step 5: Solve for x
    x = 180,847,496.37/13,514.68
  6. Step 6: Final answer
    x = 13,381.56

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