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Finding the Fourth Proportional to 16,156.26, 24,230.34 and 5,768.10

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Solution

The fourth proportional to 16,156.26, 24,230.34 and 5,768.10 is: 8,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.26 : 24,230.34 = 5,768.10 : x
  2. Step 2: Convert to fraction form
    16,156.26/24,230.34 = 5,768.10/x
  3. Step 3: Cross multiply
    16,156.26x = 24,230.34 × 5,768.10
  4. Step 4: Simplify right side
    16,156.26x = 139,763,024.15
  5. Step 5: Solve for x
    x = 139,763,024.15/16,156.26
  6. Step 6: Final answer
    x = 8,650.70

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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.