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Finding the Fourth Proportional to 26,216.08, 36,178 and 14,279.38

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Solution

The fourth proportional to 26,216.08, 36,178 and 14,279.38 is: 19,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,216.08 : 36,178 = 14,279.38 : x
  2. Step 2: Convert to fraction form
    26,216.08/36,178 = 14,279.38/x
  3. Step 3: Cross multiply
    26,216.08x = 36,178 × 14,279.38
  4. Step 4: Simplify right side
    26,216.08x = 516,599,409.64
  5. Step 5: Solve for x
    x = 516,599,409.64/26,216.08
  6. Step 6: Final answer
    x = 19,705.44

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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.