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Finding the Fourth Proportional to 27,456.89, 41,187.96 and 7,466.63

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Solution

The fourth proportional to 27,456.89, 41,187.96 and 7,466.63 is: 11,200.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,456.89 : 41,187.96 = 7,466.63 : x
  2. Step 2: Convert to fraction form
    27,456.89/41,187.96 = 7,466.63/x
  3. Step 3: Cross multiply
    27,456.89x = 41,187.96 × 7,466.63
  4. Step 4: Simplify right side
    27,456.89x = 307,535,051.84
  5. Step 5: Solve for x
    x = 307,535,051.84/27,456.89
  6. Step 6: Final answer
    x = 11,200.65

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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.