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Finding the Fourth Proportional to 24,503.73, 36,709.21 and 14,478.49

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Solution

The fourth proportional to 24,503.73, 36,709.21 and 14,478.49 is: 21,690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.73 : 36,709.21 = 14,478.49 : x
  2. Step 2: Convert to fraction form
    24,503.73/36,709.21 = 14,478.49/x
  3. Step 3: Cross multiply
    24,503.73x = 36,709.21 × 14,478.49
  4. Step 4: Simplify right side
    24,503.73x = 531,493,929.89
  5. Step 5: Solve for x
    x = 531,493,929.89/24,503.73
  6. Step 6: Final answer
    x = 21,690.33

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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.