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Finding the Fourth Proportional to 26,123, 36,049.76 and 14,186.36

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Solution

The fourth proportional to 26,123, 36,049.76 and 14,186.36 is: 19,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,123 : 36,049.76 = 14,186.36 : x
  2. Step 2: Convert to fraction form
    26,123/36,049.76 = 14,186.36/x
  3. Step 3: Cross multiply
    26,123x = 36,049.76 × 14,186.36
  4. Step 4: Simplify right side
    26,123x = 511,414,873.27
  5. Step 5: Solve for x
    x = 511,414,873.27/26,123
  6. Step 6: Final answer
    x = 19,577.19

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1.5x scale

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.