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Finding the Fourth Proportional to 26,509.80, 39,764.70 and 16,141.80

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Solution

The fourth proportional to 26,509.80, 39,764.70 and 16,141.80 is: 24,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.80 : 39,764.70 = 16,141.80 : x
  2. Step 2: Convert to fraction form
    26,509.80/39,764.70 = 16,141.80/x
  3. Step 3: Cross multiply
    26,509.80x = 39,764.70 × 16,141.80
  4. Step 4: Simplify right side
    26,509.80x = 641,873,834.46
  5. Step 5: Solve for x
    x = 641,873,834.46/26,509.80
  6. Step 6: Final answer
    x = 24,212.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.