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Finding the Fourth Proportional to 16,852.92, 25,279.44 and 16,446.96

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Solution

The fourth proportional to 16,852.92, 25,279.44 and 16,446.96 is: 24,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.92 : 25,279.44 = 16,446.96 : x
  2. Step 2: Convert to fraction form
    16,852.92/25,279.44 = 16,446.96/x
  3. Step 3: Cross multiply
    16,852.92x = 25,279.44 × 16,446.96
  4. Step 4: Simplify right side
    16,852.92x = 415,769,938.50
  5. Step 5: Solve for x
    x = 415,769,938.50/16,852.92
  6. Step 6: Final answer
    x = 24,670.50

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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.