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Finding the Fourth Proportional to 29,698.56, 40,984.68 and 16,951.50

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Solution

The fourth proportional to 29,698.56, 40,984.68 and 16,951.50 is: 23,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,698.56 : 40,984.68 = 16,951.50 : x
  2. Step 2: Convert to fraction form
    29,698.56/40,984.68 = 16,951.50/x
  3. Step 3: Cross multiply
    29,698.56x = 40,984.68 × 16,951.50
  4. Step 4: Simplify right side
    29,698.56x = 694,751,803.02
  5. Step 5: Solve for x
    x = 694,751,803.02/29,698.56
  6. Step 6: Final answer
    x = 23,393.45

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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.