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Finding the Fourth Proportional to 13,383.93, 18,469.08 and 7,415.22

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Solution

The fourth proportional to 13,383.93, 18,469.08 and 7,415.22 is: 10,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.93 : 18,469.08 = 7,415.22 : x
  2. Step 2: Convert to fraction form
    13,383.93/18,469.08 = 7,415.22/x
  3. Step 3: Cross multiply
    13,383.93x = 18,469.08 × 7,415.22
  4. Step 4: Simplify right side
    13,383.93x = 136,952,291.40
  5. Step 5: Solve for x
    x = 136,952,291.40/13,383.93
  6. Step 6: Final answer
    x = 10,232.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.