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Finding the Fourth Proportional to 14,514.14, 20,069.71 and 11,524.70

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Solution

The fourth proportional to 14,514.14, 20,069.71 and 11,524.70 is: 15,936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.14 : 20,069.71 = 11,524.70 : x
  2. Step 2: Convert to fraction form
    14,514.14/20,069.71 = 11,524.70/x
  3. Step 3: Cross multiply
    14,514.14x = 20,069.71 × 11,524.70
  4. Step 4: Simplify right side
    14,514.14x = 231,297,386.84
  5. Step 5: Solve for x
    x = 231,297,386.84/14,514.14
  6. Step 6: Final answer
    x = 15,936.00

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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.