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Finding the Fourth Proportional to 27,431.94, 41,142.96 and 7,705.68

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Solution

The fourth proportional to 27,431.94, 41,142.96 and 7,705.68 is: 11,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.94 : 41,142.96 = 7,705.68 : x
  2. Step 2: Convert to fraction form
    27,431.94/41,142.96 = 7,705.68/x
  3. Step 3: Cross multiply
    27,431.94x = 41,142.96 × 7,705.68
  4. Step 4: Simplify right side
    27,431.94x = 317,034,484.01
  5. Step 5: Solve for x
    x = 317,034,484.01/27,431.94
  6. Step 6: Final answer
    x = 11,557.13

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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.