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Finding the Fourth Proportional to 18,796, 25,939.29 and 10,412.50

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Solution

The fourth proportional to 18,796, 25,939.29 and 10,412.50 is: 14,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,796 : 25,939.29 = 10,412.50 : x
  2. Step 2: Convert to fraction form
    18,796/25,939.29 = 10,412.50/x
  3. Step 3: Cross multiply
    18,796x = 25,939.29 × 10,412.50
  4. Step 4: Simplify right side
    18,796x = 270,092,857.13
  5. Step 5: Solve for x
    x = 270,092,857.13/18,796
  6. Step 6: Final answer
    x = 14,369.70

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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.