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Finding the Fourth Proportional to 14,198.81, 21,295.47 and 5,431.67

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Solution

The fourth proportional to 14,198.81, 21,295.47 and 5,431.67 is: 8,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,198.81 : 21,295.47 = 5,431.67 : x
  2. Step 2: Convert to fraction form
    14,198.81/21,295.47 = 5,431.67/x
  3. Step 3: Cross multiply
    14,198.81x = 21,295.47 × 5,431.67
  4. Step 4: Simplify right side
    14,198.81x = 115,669,965.53
  5. Step 5: Solve for x
    x = 115,669,965.53/14,198.81
  6. Step 6: Final answer
    x = 8,146.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.