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Finding the Fourth Proportional to 18,563, 25,616.94 and 10,179.68

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Solution

The fourth proportional to 18,563, 25,616.94 and 10,179.68 is: 14,047.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,563 : 25,616.94 = 10,179.68 : x
  2. Step 2: Convert to fraction form
    18,563/25,616.94 = 10,179.68/x
  3. Step 3: Cross multiply
    18,563x = 25,616.94 × 10,179.68
  4. Step 4: Simplify right side
    18,563x = 260,772,251.78
  5. Step 5: Solve for x
    x = 260,772,251.78/18,563
  6. Step 6: Final answer
    x = 14,047.96

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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.