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Finding the Fourth Proportional to 16,412.14, 22,667.64 and 11,955.82

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Solution

The fourth proportional to 16,412.14, 22,667.64 and 11,955.82 is: 16,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.14 : 22,667.64 = 11,955.82 : x
  2. Step 2: Convert to fraction form
    16,412.14/22,667.64 = 11,955.82/x
  3. Step 3: Cross multiply
    16,412.14x = 22,667.64 × 11,955.82
  4. Step 4: Simplify right side
    16,412.14x = 271,010,223.66
  5. Step 5: Solve for x
    x = 271,010,223.66/16,412.14
  6. Step 6: Final answer
    x = 16,512.79

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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.