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Finding the Fourth Proportional to 16,573.44, 24,866.64 and 6,186

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Solution

The fourth proportional to 16,573.44, 24,866.64 and 6,186 is: 9,281.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,573.44 : 24,866.64 = 6,186 : x
  2. Step 2: Convert to fraction form
    16,573.44/24,866.64 = 6,186/x
  3. Step 3: Cross multiply
    16,573.44x = 24,866.64 × 6,186
  4. Step 4: Simplify right side
    16,573.44x = 153,825,035.04
  5. Step 5: Solve for x
    x = 153,825,035.04/16,573.44
  6. Step 6: Final answer
    x = 9,281.42

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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.