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Finding the Fourth Proportional to 14,786.14, 20,404.50 and 8,071.96

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Solution

The fourth proportional to 14,786.14, 20,404.50 and 8,071.96 is: 11,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.14 : 20,404.50 = 8,071.96 : x
  2. Step 2: Convert to fraction form
    14,786.14/20,404.50 = 8,071.96/x
  3. Step 3: Cross multiply
    14,786.14x = 20,404.50 × 8,071.96
  4. Step 4: Simplify right side
    14,786.14x = 164,704,307.82
  5. Step 5: Solve for x
    x = 164,704,307.82/14,786.14
  6. Step 6: Final answer
    x = 11,139.10

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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.