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Finding the Fourth Proportional to 12,638.21, 17,441.90 and 7,261.40

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Solution

The fourth proportional to 12,638.21, 17,441.90 and 7,261.40 is: 10,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.21 : 17,441.90 = 7,261.40 : x
  2. Step 2: Convert to fraction form
    12,638.21/17,441.90 = 7,261.40/x
  3. Step 3: Cross multiply
    12,638.21x = 17,441.90 × 7,261.40
  4. Step 4: Simplify right side
    12,638.21x = 126,652,543.60
  5. Step 5: Solve for x
    x = 126,652,543.60/12,638.21
  6. Step 6: Final answer
    x = 10,021.40

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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.