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Finding the Fourth Proportional to 19,839.64, 27,378.74 and 10,887.21

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Solution

The fourth proportional to 19,839.64, 27,378.74 and 10,887.21 is: 15,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,839.64 : 27,378.74 = 10,887.21 : x
  2. Step 2: Convert to fraction form
    19,839.64/27,378.74 = 10,887.21/x
  3. Step 3: Cross multiply
    19,839.64x = 27,378.74 × 10,887.21
  4. Step 4: Simplify right side
    19,839.64x = 298,078,119.13
  5. Step 5: Solve for x
    x = 298,078,119.13/19,839.64
  6. Step 6: Final answer
    x = 15,024.38

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Why These Related Problems?

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