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Finding the Fourth Proportional to 13,671.72, 18,869.40 and 8,638.20

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Solution

The fourth proportional to 13,671.72, 18,869.40 and 8,638.20 is: 11,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.72 : 18,869.40 = 8,638.20 : x
  2. Step 2: Convert to fraction form
    13,671.72/18,869.40 = 8,638.20/x
  3. Step 3: Cross multiply
    13,671.72x = 18,869.40 × 8,638.20
  4. Step 4: Simplify right side
    13,671.72x = 162,997,651.08
  5. Step 5: Solve for x
    x = 162,997,651.08/13,671.72
  6. Step 6: Final answer
    x = 11,922.25

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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.