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Finding the Fourth Proportional to 12,945.60, 17,867.82 and 8,461.98

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Solution

The fourth proportional to 12,945.60, 17,867.82 and 8,461.98 is: 11,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,945.60 : 17,867.82 = 8,461.98 : x
  2. Step 2: Convert to fraction form
    12,945.60/17,867.82 = 8,461.98/x
  3. Step 3: Cross multiply
    12,945.60x = 17,867.82 × 8,461.98
  4. Step 4: Simplify right side
    12,945.60x = 151,197,135.48
  5. Step 5: Solve for x
    x = 151,197,135.48/12,945.60
  6. Step 6: Final answer
    x = 11,679.42

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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.