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Finding the Fourth Proportional to 12,917.30, 17,827.82 and 7,884.44

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Solution

The fourth proportional to 12,917.30, 17,827.82 and 7,884.44 is: 10,881.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.30 : 17,827.82 = 7,884.44 : x
  2. Step 2: Convert to fraction form
    12,917.30/17,827.82 = 7,884.44/x
  3. Step 3: Cross multiply
    12,917.30x = 17,827.82 × 7,884.44
  4. Step 4: Simplify right side
    12,917.30x = 140,562,457.33
  5. Step 5: Solve for x
    x = 140,562,457.33/12,917.30
  6. Step 6: Final answer
    x = 10,881.72

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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.