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Finding the Fourth Proportional to 12,840.40, 19,244.40 and 11,447.20

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Solution

The fourth proportional to 12,840.40, 19,244.40 and 11,447.20 is: 17,156.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.40 : 19,244.40 = 11,447.20 : x
  2. Step 2: Convert to fraction form
    12,840.40/19,244.40 = 11,447.20/x
  3. Step 3: Cross multiply
    12,840.40x = 19,244.40 × 11,447.20
  4. Step 4: Simplify right side
    12,840.40x = 220,294,495.68
  5. Step 5: Solve for x
    x = 220,294,495.68/12,840.40
  6. Step 6: Final answer
    x = 17,156.36

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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.