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Finding the Fourth Proportional to 13,418.21, 20,130.47 and 13,195.07

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Solution

The fourth proportional to 13,418.21, 20,130.47 and 13,195.07 is: 19,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,418.21 : 20,130.47 = 13,195.07 : x
  2. Step 2: Convert to fraction form
    13,418.21/20,130.47 = 13,195.07/x
  3. Step 3: Cross multiply
    13,418.21x = 20,130.47 × 13,195.07
  4. Step 4: Simplify right side
    13,418.21x = 265,622,860.13
  5. Step 5: Solve for x
    x = 265,622,860.13/13,418.21
  6. Step 6: Final answer
    x = 19,795.71

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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.