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Finding the Fourth Proportional to 16,665.37, 23,004 and 9,594.61

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Solution

The fourth proportional to 16,665.37, 23,004 and 9,594.61 is: 13,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,665.37 : 23,004 = 9,594.61 : x
  2. Step 2: Convert to fraction form
    16,665.37/23,004 = 9,594.61/x
  3. Step 3: Cross multiply
    16,665.37x = 23,004 × 9,594.61
  4. Step 4: Simplify right side
    16,665.37x = 220,714,408.44
  5. Step 5: Solve for x
    x = 220,714,408.44/16,665.37
  6. Step 6: Final answer
    x = 13,243.89

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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.