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Finding the Fourth Proportional to 26,709.34, 36,855.70 and 14,771.06

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Solution

The fourth proportional to 26,709.34, 36,855.70 and 14,771.06 is: 20,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,709.34 : 36,855.70 = 14,771.06 : x
  2. Step 2: Convert to fraction form
    26,709.34/36,855.70 = 14,771.06/x
  3. Step 3: Cross multiply
    26,709.34x = 36,855.70 × 14,771.06
  4. Step 4: Simplify right side
    26,709.34x = 544,397,756.04
  5. Step 5: Solve for x
    x = 544,397,756.04/26,709.34
  6. Step 6: Final answer
    x = 20,382.30

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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.