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Finding the Fourth Proportional to 27,489.84, 41,235.53 and 9,717.99

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Solution

The fourth proportional to 27,489.84, 41,235.53 and 9,717.99 is: 14,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,489.84 : 41,235.53 = 9,717.99 : x
  2. Step 2: Convert to fraction form
    27,489.84/41,235.53 = 9,717.99/x
  3. Step 3: Cross multiply
    27,489.84x = 41,235.53 × 9,717.99
  4. Step 4: Simplify right side
    27,489.84x = 400,726,316.51
  5. Step 5: Solve for x
    x = 400,726,316.51/27,489.84
  6. Step 6: Final answer
    x = 14,577.25

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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.