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Finding the Fourth Proportional to 27,428.40, 41,144.13 and 7,705.42

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Solution

The fourth proportional to 27,428.40, 41,144.13 and 7,705.42 is: 11,558.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428.40 : 41,144.13 = 7,705.42 : x
  2. Step 2: Convert to fraction form
    27,428.40/41,144.13 = 7,705.42/x
  3. Step 3: Cross multiply
    27,428.40x = 41,144.13 × 7,705.42
  4. Step 4: Simplify right side
    27,428.40x = 317,032,699.32
  5. Step 5: Solve for x
    x = 317,032,699.32/27,428.40
  6. Step 6: Final answer
    x = 11,558.56

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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.