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Finding the Fourth Proportional to 12,376.40, 18,564.60 and 3,142.40

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Solution

The fourth proportional to 12,376.40, 18,564.60 and 3,142.40 is: 4,713.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.40 : 18,564.60 = 3,142.40 : x
  2. Step 2: Convert to fraction form
    12,376.40/18,564.60 = 3,142.40/x
  3. Step 3: Cross multiply
    12,376.40x = 18,564.60 × 3,142.40
  4. Step 4: Simplify right side
    12,376.40x = 58,337,399.04
  5. Step 5: Solve for x
    x = 58,337,399.04/12,376.40
  6. Step 6: Final answer
    x = 4,713.60

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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.