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Finding the Fourth Proportional to 16,412.16, 22,667.64 and 11,955.84

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Solution

The fourth proportional to 16,412.16, 22,667.64 and 11,955.84 is: 16,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.16 : 22,667.64 = 11,955.84 : x
  2. Step 2: Convert to fraction form
    16,412.16/22,667.64 = 11,955.84/x
  3. Step 3: Cross multiply
    16,412.16x = 22,667.64 × 11,955.84
  4. Step 4: Simplify right side
    16,412.16x = 271,010,677.02
  5. Step 5: Solve for x
    x = 271,010,677.02/16,412.16
  6. Step 6: Final answer
    x = 16,512.80

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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.