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Finding the Fourth Proportional to 14,138.92, 21,208.16 and 3,465.38

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Solution

The fourth proportional to 14,138.92, 21,208.16 and 3,465.38 is: 5,198.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.92 : 21,208.16 = 3,465.38 : x
  2. Step 2: Convert to fraction form
    14,138.92/21,208.16 = 3,465.38/x
  3. Step 3: Cross multiply
    14,138.92x = 21,208.16 × 3,465.38
  4. Step 4: Simplify right side
    14,138.92x = 73,494,395.18
  5. Step 5: Solve for x
    x = 73,494,395.18/14,138.92
  6. Step 6: Final answer
    x = 5,198.02

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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.