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Finding the Fourth Proportional to 16,612, 22,924.80 and 9,160

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Solution

The fourth proportional to 16,612, 22,924.80 and 9,160 is: 12,640.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,612 : 22,924.80 = 9,160 : x
  2. Step 2: Convert to fraction form
    16,612/22,924.80 = 9,160/x
  3. Step 3: Cross multiply
    16,612x = 22,924.80 × 9,160
  4. Step 4: Simplify right side
    16,612x = 209,991,168
  5. Step 5: Solve for x
    x = 209,991,168/16,612
  6. Step 6: Final answer
    x = 12,640.93

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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.