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Finding the Fourth Proportional to 13,428.99, 20,145.65 and 5,640.03

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Solution

The fourth proportional to 13,428.99, 20,145.65 and 5,640.03 is: 8,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.99 : 20,145.65 = 5,640.03 : x
  2. Step 2: Convert to fraction form
    13,428.99/20,145.65 = 5,640.03/x
  3. Step 3: Cross multiply
    13,428.99x = 20,145.65 × 5,640.03
  4. Step 4: Simplify right side
    13,428.99x = 113,622,042.17
  5. Step 5: Solve for x
    x = 113,622,042.17/13,428.99
  6. Step 6: Final answer
    x = 8,460.95

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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.