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Finding the Fourth Proportional to 26,456.50, 36,509.34 and 14,519.80

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Solution

The fourth proportional to 26,456.50, 36,509.34 and 14,519.80 is: 20,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,456.50 : 36,509.34 = 14,519.80 : x
  2. Step 2: Convert to fraction form
    26,456.50/36,509.34 = 14,519.80/x
  3. Step 3: Cross multiply
    26,456.50x = 36,509.34 × 14,519.80
  4. Step 4: Simplify right side
    26,456.50x = 530,108,314.93
  5. Step 5: Solve for x
    x = 530,108,314.93/26,456.50
  6. Step 6: Final answer
    x = 20,036.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.