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Finding the Fourth Proportional to 26,705.81, 36,853.29 and 14,769.65

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Solution

The fourth proportional to 26,705.81, 36,853.29 and 14,769.65 is: 20,381.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,705.81 : 36,853.29 = 14,769.65 : x
  2. Step 2: Convert to fraction form
    26,705.81/36,853.29 = 14,769.65/x
  3. Step 3: Cross multiply
    26,705.81x = 36,853.29 × 14,769.65
  4. Step 4: Simplify right side
    26,705.81x = 544,310,010.38
  5. Step 5: Solve for x
    x = 544,310,010.38/26,705.81
  6. Step 6: Final answer
    x = 20,381.71

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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.