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Finding the Fourth Proportional to 16,173.21, 22,318.99 and 9,099.63

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Solution

The fourth proportional to 16,173.21, 22,318.99 and 9,099.63 is: 12,557.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,173.21 : 22,318.99 = 9,099.63 : x
  2. Step 2: Convert to fraction form
    16,173.21/22,318.99 = 9,099.63/x
  3. Step 3: Cross multiply
    16,173.21x = 22,318.99 × 9,099.63
  4. Step 4: Simplify right side
    16,173.21x = 203,094,550.97
  5. Step 5: Solve for x
    x = 203,094,550.97/16,173.21
  6. Step 6: Final answer
    x = 12,557.47

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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.