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Finding the Fourth Proportional to 19,568.82, 27,004.68 and 10,616.34

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Solution

The fourth proportional to 19,568.82, 27,004.68 and 10,616.34 is: 14,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,568.82 : 27,004.68 = 10,616.34 : x
  2. Step 2: Convert to fraction form
    19,568.82/27,004.68 = 10,616.34/x
  3. Step 3: Cross multiply
    19,568.82x = 27,004.68 × 10,616.34
  4. Step 4: Simplify right side
    19,568.82x = 286,690,864.47
  5. Step 5: Solve for x
    x = 286,690,864.47/19,568.82
  6. Step 6: Final answer
    x = 14,650.39

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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.