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Finding the Fourth Proportional to 16,636, 22,957.70 and 9,184

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Solution

The fourth proportional to 16,636, 22,957.70 and 9,184 is: 12,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,636 : 22,957.70 = 9,184 : x
  2. Step 2: Convert to fraction form
    16,636/22,957.70 = 9,184/x
  3. Step 3: Cross multiply
    16,636x = 22,957.70 × 9,184
  4. Step 4: Simplify right side
    16,636x = 210,843,516.80
  5. Step 5: Solve for x
    x = 210,843,516.80/16,636
  6. Step 6: Final answer
    x = 12,673.93

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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.