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Finding the Fourth Proportional to 26,481, 36,544.74 and 14,545.44

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Solution

The fourth proportional to 26,481, 36,544.74 and 14,545.44 is: 20,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,481 : 36,544.74 = 14,545.44 : x
  2. Step 2: Convert to fraction form
    26,481/36,544.74 = 14,545.44/x
  3. Step 3: Cross multiply
    26,481x = 36,544.74 × 14,545.44
  4. Step 4: Simplify right side
    26,481x = 531,559,322.99
  5. Step 5: Solve for x
    x = 531,559,322.99/26,481
  6. Step 6: Final answer
    x = 20,073.23

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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.