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Finding the Fourth Proportional to 13,415.09, 20,122.61 and 11,422.17

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Solution

The fourth proportional to 13,415.09, 20,122.61 and 11,422.17 is: 17,133.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.09 : 20,122.61 = 11,422.17 : x
  2. Step 2: Convert to fraction form
    13,415.09/20,122.61 = 11,422.17/x
  3. Step 3: Cross multiply
    13,415.09x = 20,122.61 × 11,422.17
  4. Step 4: Simplify right side
    13,415.09x = 229,843,815.15
  5. Step 5: Solve for x
    x = 229,843,815.15/13,415.09
  6. Step 6: Final answer
    x = 17,133.24

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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.