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Finding the Fourth Proportional to 12,381.68, 17,090.60 and 8,354.36

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Solution

The fourth proportional to 12,381.68, 17,090.60 and 8,354.36 is: 11,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.68 : 17,090.60 = 8,354.36 : x
  2. Step 2: Convert to fraction form
    12,381.68/17,090.60 = 8,354.36/x
  3. Step 3: Cross multiply
    12,381.68x = 17,090.60 × 8,354.36
  4. Step 4: Simplify right side
    12,381.68x = 142,781,025.02
  5. Step 5: Solve for x
    x = 142,781,025.02/12,381.68
  6. Step 6: Final answer
    x = 11,531.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.