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Finding the Fourth Proportional to 19,839.68, 27,381.12 and 11,456

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Solution

The fourth proportional to 19,839.68, 27,381.12 and 11,456 is: 15,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,839.68 : 27,381.12 = 11,456 : x
  2. Step 2: Convert to fraction form
    19,839.68/27,381.12 = 11,456/x
  3. Step 3: Cross multiply
    19,839.68x = 27,381.12 × 11,456
  4. Step 4: Simplify right side
    19,839.68x = 313,678,110.72
  5. Step 5: Solve for x
    x = 313,678,110.72/19,839.68
  6. Step 6: Final answer
    x = 15,810.64

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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.