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Finding the Fourth Proportional to 26,189.46, 36,142.38 and 14,859

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Solution

The fourth proportional to 26,189.46, 36,142.38 and 14,859 is: 20,505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,189.46 : 36,142.38 = 14,859 : x
  2. Step 2: Convert to fraction form
    26,189.46/36,142.38 = 14,859/x
  3. Step 3: Cross multiply
    26,189.46x = 36,142.38 × 14,859
  4. Step 4: Simplify right side
    26,189.46x = 537,039,624.42
  5. Step 5: Solve for x
    x = 537,039,624.42/26,189.46
  6. Step 6: Final answer
    x = 20,505.94

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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.