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Finding the Fourth Proportional to 16,698.54, 23,044.24 and 9,144.74

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Solution

The fourth proportional to 16,698.54, 23,044.24 and 9,144.74 is: 12,619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,698.54 : 23,044.24 = 9,144.74 : x
  2. Step 2: Convert to fraction form
    16,698.54/23,044.24 = 9,144.74/x
  3. Step 3: Cross multiply
    16,698.54x = 23,044.24 × 9,144.74
  4. Step 4: Simplify right side
    16,698.54x = 210,733,583.30
  5. Step 5: Solve for x
    x = 210,733,583.30/16,698.54
  6. Step 6: Final answer
    x = 12,619.88

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1.5x scale

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.