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Finding the Fourth Proportional to 27,347.84, 41,028.16 and 11,756.80

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Solution

The fourth proportional to 27,347.84, 41,028.16 and 11,756.80 is: 17,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,347.84 : 41,028.16 = 11,756.80 : x
  2. Step 2: Convert to fraction form
    27,347.84/41,028.16 = 11,756.80/x
  3. Step 3: Cross multiply
    27,347.84x = 41,028.16 × 11,756.80
  4. Step 4: Simplify right side
    27,347.84x = 482,359,871.49
  5. Step 5: Solve for x
    x = 482,359,871.49/27,347.84
  6. Step 6: Final answer
    x = 17,637.95

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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.