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Finding the Fourth Proportional to 16,497.27, 24,735.44 and 9,106.85

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Solution

The fourth proportional to 16,497.27, 24,735.44 and 9,106.85 is: 13,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.27 : 24,735.44 = 9,106.85 : x
  2. Step 2: Convert to fraction form
    16,497.27/24,735.44 = 9,106.85/x
  3. Step 3: Cross multiply
    16,497.27x = 24,735.44 × 9,106.85
  4. Step 4: Simplify right side
    16,497.27x = 225,262,026.37
  5. Step 5: Solve for x
    x = 225,262,026.37/16,497.27
  6. Step 6: Final answer
    x = 13,654.50

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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.