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Finding the Fourth Proportional to 16,876.44, 23,289.50 and 9,424.44

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Solution

The fourth proportional to 16,876.44, 23,289.50 and 9,424.44 is: 13,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.44 : 23,289.50 = 9,424.44 : x
  2. Step 2: Convert to fraction form
    16,876.44/23,289.50 = 9,424.44/x
  3. Step 3: Cross multiply
    16,876.44x = 23,289.50 × 9,424.44
  4. Step 4: Simplify right side
    16,876.44x = 219,490,495.38
  5. Step 5: Solve for x
    x = 219,490,495.38/16,876.44
  6. Step 6: Final answer
    x = 13,005.73

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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.