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Finding the Fourth Proportional to 13,431.60, 20,147.40 and 6,870.60

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Solution

The fourth proportional to 13,431.60, 20,147.40 and 6,870.60 is: 10,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431.60 : 20,147.40 = 6,870.60 : x
  2. Step 2: Convert to fraction form
    13,431.60/20,147.40 = 6,870.60/x
  3. Step 3: Cross multiply
    13,431.60x = 20,147.40 × 6,870.60
  4. Step 4: Simplify right side
    13,431.60x = 138,424,726.44
  5. Step 5: Solve for x
    x = 138,424,726.44/13,431.60
  6. Step 6: Final answer
    x = 10,305.90

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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.