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Finding the Fourth Proportional to 11,347.60, 17,021.40 and 8,431.60

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Solution

The fourth proportional to 11,347.60, 17,021.40 and 8,431.60 is: 12,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.60 : 17,021.40 = 8,431.60 : x
  2. Step 2: Convert to fraction form
    11,347.60/17,021.40 = 8,431.60/x
  3. Step 3: Cross multiply
    11,347.60x = 17,021.40 × 8,431.60
  4. Step 4: Simplify right side
    11,347.60x = 143,517,636.24
  5. Step 5: Solve for x
    x = 143,517,636.24/11,347.60
  6. Step 6: Final answer
    x = 12,647.40

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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.