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Finding the Fourth Proportional to 16,685, 23,026.02 and 9,233

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Solution

The fourth proportional to 16,685, 23,026.02 and 9,233 is: 12,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,685 : 23,026.02 = 9,233 : x
  2. Step 2: Convert to fraction form
    16,685/23,026.02 = 9,233/x
  3. Step 3: Cross multiply
    16,685x = 23,026.02 × 9,233
  4. Step 4: Simplify right side
    16,685x = 212,599,242.66
  5. Step 5: Solve for x
    x = 212,599,242.66/16,685
  6. Step 6: Final answer
    x = 12,741.94

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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.