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Finding the Fourth Proportional to 18,684.64, 27,985.02 and 14,512

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Solution

The fourth proportional to 18,684.64, 27,985.02 and 14,512 is: 21,735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684.64 : 27,985.02 = 14,512 : x
  2. Step 2: Convert to fraction form
    18,684.64/27,985.02 = 14,512/x
  3. Step 3: Cross multiply
    18,684.64x = 27,985.02 × 14,512
  4. Step 4: Simplify right side
    18,684.64x = 406,118,610.24
  5. Step 5: Solve for x
    x = 406,118,610.24/18,684.64
  6. Step 6: Final answer
    x = 21,735.43

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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.