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Finding the Fourth Proportional to 14,146.74, 21,216.64 and 5,139.38

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Solution

The fourth proportional to 14,146.74, 21,216.64 and 5,139.38 is: 7,707.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.74 : 21,216.64 = 5,139.38 : x
  2. Step 2: Convert to fraction form
    14,146.74/21,216.64 = 5,139.38/x
  3. Step 3: Cross multiply
    14,146.74x = 21,216.64 × 5,139.38
  4. Step 4: Simplify right side
    14,146.74x = 109,040,375.28
  5. Step 5: Solve for x
    x = 109,040,375.28/14,146.74
  6. Step 6: Final answer
    x = 7,707.81

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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.