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Finding the Fourth Proportional to 16,693.64, 23,037.24 and 10,406

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Solution

The fourth proportional to 16,693.64, 23,037.24 and 10,406 is: 14,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,693.64 : 23,037.24 = 10,406 : x
  2. Step 2: Convert to fraction form
    16,693.64/23,037.24 = 10,406/x
  3. Step 3: Cross multiply
    16,693.64x = 23,037.24 × 10,406
  4. Step 4: Simplify right side
    16,693.64x = 239,725,519.44
  5. Step 5: Solve for x
    x = 239,725,519.44/16,693.64
  6. Step 6: Final answer
    x = 14,360.29

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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.