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Finding the Fourth Proportional to 16,078, 24,130 and 8,289.04

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Solution

The fourth proportional to 16,078, 24,130 and 8,289.04 is: 12,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078 : 24,130 = 8,289.04 : x
  2. Step 2: Convert to fraction form
    16,078/24,130 = 8,289.04/x
  3. Step 3: Cross multiply
    16,078x = 24,130 × 8,289.04
  4. Step 4: Simplify right side
    16,078x = 200,014,535.20
  5. Step 5: Solve for x
    x = 200,014,535.20/16,078
  6. Step 6: Final answer
    x = 12,440.26

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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.