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Finding the Fourth Proportional to 12,945.54, 17,867.74 and 8,461.58

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Solution

The fourth proportional to 12,945.54, 17,867.74 and 8,461.58 is: 11,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,945.54 : 17,867.74 = 8,461.58 : x
  2. Step 2: Convert to fraction form
    12,945.54/17,867.74 = 8,461.58/x
  3. Step 3: Cross multiply
    12,945.54x = 17,867.74 × 8,461.58
  4. Step 4: Simplify right side
    12,945.54x = 151,189,311.43
  5. Step 5: Solve for x
    x = 151,189,311.43/12,945.54
  6. Step 6: Final answer
    x = 11,678.87

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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.