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Finding the Fourth Proportional to 26,596.80, 36,702 and 14,660.64

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Solution

The fourth proportional to 26,596.80, 36,702 and 14,660.64 is: 20,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,596.80 : 36,702 = 14,660.64 : x
  2. Step 2: Convert to fraction form
    26,596.80/36,702 = 14,660.64/x
  3. Step 3: Cross multiply
    26,596.80x = 36,702 × 14,660.64
  4. Step 4: Simplify right side
    26,596.80x = 538,074,809.28
  5. Step 5: Solve for x
    x = 538,074,809.28/26,596.80
  6. Step 6: Final answer
    x = 20,230.81

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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.