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Finding the Fourth Proportional to 16,823, 23,216.54 and 9,371

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Solution

The fourth proportional to 16,823, 23,216.54 and 9,371 is: 12,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823 : 23,216.54 = 9,371 : x
  2. Step 2: Convert to fraction form
    16,823/23,216.54 = 9,371/x
  3. Step 3: Cross multiply
    16,823x = 23,216.54 × 9,371
  4. Step 4: Simplify right side
    16,823x = 217,562,196.34
  5. Step 5: Solve for x
    x = 217,562,196.34/16,823
  6. Step 6: Final answer
    x = 12,932.43

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1.5x scale

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.