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Finding the Fourth Proportional to 27,046.98, 40,575.96 and 11,464.56

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Solution

The fourth proportional to 27,046.98, 40,575.96 and 11,464.56 is: 17,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,046.98 : 40,575.96 = 11,464.56 : x
  2. Step 2: Convert to fraction form
    27,046.98/40,575.96 = 11,464.56/x
  3. Step 3: Cross multiply
    27,046.98x = 40,575.96 × 11,464.56
  4. Step 4: Simplify right side
    27,046.98x = 465,185,527.98
  5. Step 5: Solve for x
    x = 465,185,527.98/27,046.98
  6. Step 6: Final answer
    x = 17,199.17

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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.