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Finding the Fourth Proportional to 13,667.16, 18,874.22 and 9,429.18

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Solution

The fourth proportional to 13,667.16, 18,874.22 and 9,429.18 is: 13,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.16 : 18,874.22 = 9,429.18 : x
  2. Step 2: Convert to fraction form
    13,667.16/18,874.22 = 9,429.18/x
  3. Step 3: Cross multiply
    13,667.16x = 18,874.22 × 9,429.18
  4. Step 4: Simplify right side
    13,667.16x = 177,968,299.82
  5. Step 5: Solve for x
    x = 177,968,299.82/13,667.16
  6. Step 6: Final answer
    x = 13,021.60

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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.