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Finding the Fourth Proportional to 12,638.58, 18,969.30 and 6,402.90

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Solution

The fourth proportional to 12,638.58, 18,969.30 and 6,402.90 is: 9,610.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.58 : 18,969.30 = 6,402.90 : x
  2. Step 2: Convert to fraction form
    12,638.58/18,969.30 = 6,402.90/x
  3. Step 3: Cross multiply
    12,638.58x = 18,969.30 × 6,402.90
  4. Step 4: Simplify right side
    12,638.58x = 121,458,530.97
  5. Step 5: Solve for x
    x = 121,458,530.97/12,638.58
  6. Step 6: Final answer
    x = 9,610.14

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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.