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Finding the Fourth Proportional to 16,980.94, 23,424.07 and 10,682.38

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Solution

The fourth proportional to 16,980.94, 23,424.07 and 10,682.38 is: 14,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,980.94 : 23,424.07 = 10,682.38 : x
  2. Step 2: Convert to fraction form
    16,980.94/23,424.07 = 10,682.38/x
  3. Step 3: Cross multiply
    16,980.94x = 23,424.07 × 10,682.38
  4. Step 4: Simplify right side
    16,980.94x = 250,224,646.35
  5. Step 5: Solve for x
    x = 250,224,646.35/16,980.94
  6. Step 6: Final answer
    x = 14,735.62

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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.