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Finding the Fourth Proportional to 26,874.81, 37,085.72 and 14,938.65

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Solution

The fourth proportional to 26,874.81, 37,085.72 and 14,938.65 is: 20,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,874.81 : 37,085.72 = 14,938.65 : x
  2. Step 2: Convert to fraction form
    26,874.81/37,085.72 = 14,938.65/x
  3. Step 3: Cross multiply
    26,874.81x = 37,085.72 × 14,938.65
  4. Step 4: Simplify right side
    26,874.81x = 554,010,516.38
  5. Step 5: Solve for x
    x = 554,010,516.38/26,874.81
  6. Step 6: Final answer
    x = 20,614.49

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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.