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Finding the Fourth Proportional to 16,446.10, 24,657 and 13,661.32

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Solution

The fourth proportional to 16,446.10, 24,657 and 13,661.32 is: 20,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,446.10 : 24,657 = 13,661.32 : x
  2. Step 2: Convert to fraction form
    16,446.10/24,657 = 13,661.32/x
  3. Step 3: Cross multiply
    16,446.10x = 24,657 × 13,661.32
  4. Step 4: Simplify right side
    16,446.10x = 336,847,167.24
  5. Step 5: Solve for x
    x = 336,847,167.24/16,446.10
  6. Step 6: Final answer
    x = 20,481.89

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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.