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Finding the Fourth Proportional to 26,794.56, 36,975.90 and 14,857.76

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Solution

The fourth proportional to 26,794.56, 36,975.90 and 14,857.76 is: 20,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,794.56 : 36,975.90 = 14,857.76 : x
  2. Step 2: Convert to fraction form
    26,794.56/36,975.90 = 14,857.76/x
  3. Step 3: Cross multiply
    26,794.56x = 36,975.90 × 14,857.76
  4. Step 4: Simplify right side
    26,794.56x = 549,379,047.98
  5. Step 5: Solve for x
    x = 549,379,047.98/26,794.56
  6. Step 6: Final answer
    x = 20,503.38

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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.