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Finding the Fourth Proportional to 14,423.08, 19,902.66 and 8,137

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Solution

The fourth proportional to 14,423.08, 19,902.66 and 8,137 is: 11,228.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.08 : 19,902.66 = 8,137 : x
  2. Step 2: Convert to fraction form
    14,423.08/19,902.66 = 8,137/x
  3. Step 3: Cross multiply
    14,423.08x = 19,902.66 × 8,137
  4. Step 4: Simplify right side
    14,423.08x = 161,947,944.42
  5. Step 5: Solve for x
    x = 161,947,944.42/14,423.08
  6. Step 6: Final answer
    x = 11,228.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.