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Finding the Fourth Proportional to 26,874.48, 37,085.70 and 14,938.02

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Solution

The fourth proportional to 26,874.48, 37,085.70 and 14,938.02 is: 20,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,874.48 : 37,085.70 = 14,938.02 : x
  2. Step 2: Convert to fraction form
    26,874.48/37,085.70 = 14,938.02/x
  3. Step 3: Cross multiply
    26,874.48x = 37,085.70 × 14,938.02
  4. Step 4: Simplify right side
    26,874.48x = 553,986,928.31
  5. Step 5: Solve for x
    x = 553,986,928.31/26,874.48
  6. Step 6: Final answer
    x = 20,613.87

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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.