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Finding the Fourth Proportional to 26,674.16, 36,810.20 and 14,738.32

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Solution

The fourth proportional to 26,674.16, 36,810.20 and 14,738.32 is: 20,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,674.16 : 36,810.20 = 14,738.32 : x
  2. Step 2: Convert to fraction form
    26,674.16/36,810.20 = 14,738.32/x
  3. Step 3: Cross multiply
    26,674.16x = 36,810.20 × 14,738.32
  4. Step 4: Simplify right side
    26,674.16x = 542,520,506.86
  5. Step 5: Solve for x
    x = 542,520,506.86/26,674.16
  6. Step 6: Final answer
    x = 20,338.80

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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.