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Finding the Fourth Proportional to 16,835, 23,233.02 and 9,383

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Solution

The fourth proportional to 16,835, 23,233.02 and 9,383 is: 12,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,835 : 23,233.02 = 9,383 : x
  2. Step 2: Convert to fraction form
    16,835/23,233.02 = 9,383/x
  3. Step 3: Cross multiply
    16,835x = 23,233.02 × 9,383
  4. Step 4: Simplify right side
    16,835x = 217,995,426.66
  5. Step 5: Solve for x
    x = 217,995,426.66/16,835
  6. Step 6: Final answer
    x = 12,948.94

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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.