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Finding the Fourth Proportional to 16,481.54, 24,714.79 and 7,117.14

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Solution

The fourth proportional to 16,481.54, 24,714.79 and 7,117.14 is: 10,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,481.54 : 24,714.79 = 7,117.14 : x
  2. Step 2: Convert to fraction form
    16,481.54/24,714.79 = 7,117.14/x
  3. Step 3: Cross multiply
    16,481.54x = 24,714.79 × 7,117.14
  4. Step 4: Simplify right side
    16,481.54x = 175,898,620.50
  5. Step 5: Solve for x
    x = 175,898,620.50/16,481.54
  6. Step 6: Final answer
    x = 10,672.46

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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.