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Finding the Fourth Proportional to 16,305.46, 24,569.26 and 13,408.79

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Solution

The fourth proportional to 16,305.46, 24,569.26 and 13,408.79 is: 20,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.46 : 24,569.26 = 13,408.79 : x
  2. Step 2: Convert to fraction form
    16,305.46/24,569.26 = 13,408.79/x
  3. Step 3: Cross multiply
    16,305.46x = 24,569.26 × 13,408.79
  4. Step 4: Simplify right side
    16,305.46x = 329,444,105.05
  5. Step 5: Solve for x
    x = 329,444,105.05/16,305.46
  6. Step 6: Final answer
    x = 20,204.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.