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Finding the Fourth Proportional to 16,128.14, 24,184.91 and 8,342.42

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Solution

The fourth proportional to 16,128.14, 24,184.91 and 8,342.42 is: 12,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128.14 : 24,184.91 = 8,342.42 : x
  2. Step 2: Convert to fraction form
    16,128.14/24,184.91 = 8,342.42/x
  3. Step 3: Cross multiply
    16,128.14x = 24,184.91 × 8,342.42
  4. Step 4: Simplify right side
    16,128.14x = 201,760,576.81
  5. Step 5: Solve for x
    x = 201,760,576.81/16,128.14
  6. Step 6: Final answer
    x = 12,509.85

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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.