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Finding the Fourth Proportional to 11,343.60, 17,015.40 and 8,427.60

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Solution

The fourth proportional to 11,343.60, 17,015.40 and 8,427.60 is: 12,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.60 : 17,015.40 = 8,427.60 : x
  2. Step 2: Convert to fraction form
    11,343.60/17,015.40 = 8,427.60/x
  3. Step 3: Cross multiply
    11,343.60x = 17,015.40 × 8,427.60
  4. Step 4: Simplify right side
    11,343.60x = 143,398,985.04
  5. Step 5: Solve for x
    x = 143,398,985.04/11,343.60
  6. Step 6: Final answer
    x = 12,641.40

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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.