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Finding the Fourth Proportional to 16,600, 22,908.24 and 9,148

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Solution

The fourth proportional to 16,600, 22,908.24 and 9,148 is: 12,624.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,600 : 22,908.24 = 9,148 : x
  2. Step 2: Convert to fraction form
    16,600/22,908.24 = 9,148/x
  3. Step 3: Cross multiply
    16,600x = 22,908.24 × 9,148
  4. Step 4: Simplify right side
    16,600x = 209,564,579.52
  5. Step 5: Solve for x
    x = 209,564,579.52/16,600
  6. Step 6: Final answer
    x = 12,624.37

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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.