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Finding the Fourth Proportional to 16,600.96, 22,908.93 and 9,047.53

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Solution

The fourth proportional to 16,600.96, 22,908.93 and 9,047.53 is: 12,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,600.96 : 22,908.93 = 9,047.53 : x
  2. Step 2: Convert to fraction form
    16,600.96/22,908.93 = 9,047.53/x
  3. Step 3: Cross multiply
    16,600.96x = 22,908.93 × 9,047.53
  4. Step 4: Simplify right side
    16,600.96x = 207,269,231.44
  5. Step 5: Solve for x
    x = 207,269,231.44/16,600.96
  6. Step 6: Final answer
    x = 12,485.38

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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.