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Finding the Fourth Proportional to 16,629, 22,948.05 and 9,177

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Solution

The fourth proportional to 16,629, 22,948.05 and 9,177 is: 12,664.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,629 : 22,948.05 = 9,177 : x
  2. Step 2: Convert to fraction form
    16,629/22,948.05 = 9,177/x
  3. Step 3: Cross multiply
    16,629x = 22,948.05 × 9,177
  4. Step 4: Simplify right side
    16,629x = 210,594,254.85
  5. Step 5: Solve for x
    x = 210,594,254.85/16,629
  6. Step 6: Final answer
    x = 12,664.28

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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.