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Finding the Fourth Proportional to 14,638.68, 20,184.66 and 11,654.64

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Solution

The fourth proportional to 14,638.68, 20,184.66 and 11,654.64 is: 16,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.68 : 20,184.66 = 11,654.64 : x
  2. Step 2: Convert to fraction form
    14,638.68/20,184.66 = 11,654.64/x
  3. Step 3: Cross multiply
    14,638.68x = 20,184.66 × 11,654.64
  4. Step 4: Simplify right side
    14,638.68x = 235,244,945.82
  5. Step 5: Solve for x
    x = 235,244,945.82/14,638.68
  6. Step 6: Final answer
    x = 16,070.09

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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.