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Finding the Fourth Proportional to 12,841.43, 17,709.32 and 9,857.39

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Solution

The fourth proportional to 12,841.43, 17,709.32 and 9,857.39 is: 13,594.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.43 : 17,709.32 = 9,857.39 : x
  2. Step 2: Convert to fraction form
    12,841.43/17,709.32 = 9,857.39/x
  3. Step 3: Cross multiply
    12,841.43x = 17,709.32 × 9,857.39
  4. Step 4: Simplify right side
    12,841.43x = 174,567,624.59
  5. Step 5: Solve for x
    x = 174,567,624.59/12,841.43
  6. Step 6: Final answer
    x = 13,594.10

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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.