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Finding the Fourth Proportional to 14,286.92, 19,722.78 and 9,514.80

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Solution

The fourth proportional to 14,286.92, 19,722.78 and 9,514.80 is: 13,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.92 : 19,722.78 = 9,514.80 : x
  2. Step 2: Convert to fraction form
    14,286.92/19,722.78 = 9,514.80/x
  3. Step 3: Cross multiply
    14,286.92x = 19,722.78 × 9,514.80
  4. Step 4: Simplify right side
    14,286.92x = 187,658,307.14
  5. Step 5: Solve for x
    x = 187,658,307.14/14,286.92
  6. Step 6: Final answer
    x = 13,134.98

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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.