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Finding the Fourth Proportional to 11,827.60, 17,741.40 and 10,829.20

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Solution

The fourth proportional to 11,827.60, 17,741.40 and 10,829.20 is: 16,243.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.60 : 17,741.40 = 10,829.20 : x
  2. Step 2: Convert to fraction form
    11,827.60/17,741.40 = 10,829.20/x
  3. Step 3: Cross multiply
    11,827.60x = 17,741.40 × 10,829.20
  4. Step 4: Simplify right side
    11,827.60x = 192,125,168.88
  5. Step 5: Solve for x
    x = 192,125,168.88/11,827.60
  6. Step 6: Final answer
    x = 16,243.80

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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.