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Finding the Fourth Proportional to 13,422.40, 20,133.60 and 7,878.40

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Solution

The fourth proportional to 13,422.40, 20,133.60 and 7,878.40 is: 11,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.40 : 20,133.60 = 7,878.40 : x
  2. Step 2: Convert to fraction form
    13,422.40/20,133.60 = 7,878.40/x
  3. Step 3: Cross multiply
    13,422.40x = 20,133.60 × 7,878.40
  4. Step 4: Simplify right side
    13,422.40x = 158,620,554.24
  5. Step 5: Solve for x
    x = 158,620,554.24/13,422.40
  6. Step 6: Final answer
    x = 11,817.60

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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.