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Finding the Fourth Proportional to 27,727.84, 38,268.74 and 17,660.62

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Solution

The fourth proportional to 27,727.84, 38,268.74 and 17,660.62 is: 24,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,727.84 : 38,268.74 = 17,660.62 : x
  2. Step 2: Convert to fraction form
    27,727.84/38,268.74 = 17,660.62/x
  3. Step 3: Cross multiply
    27,727.84x = 38,268.74 × 17,660.62
  4. Step 4: Simplify right side
    27,727.84x = 675,849,675.02
  5. Step 5: Solve for x
    x = 675,849,675.02/27,727.84
  6. Step 6: Final answer
    x = 24,374.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.