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Finding the Fourth Proportional to 12,241, 16,894.02 and 7,273

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Solution

The fourth proportional to 12,241, 16,894.02 and 7,273 is: 10,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241 : 16,894.02 = 7,273 : x
  2. Step 2: Convert to fraction form
    12,241/16,894.02 = 7,273/x
  3. Step 3: Cross multiply
    12,241x = 16,894.02 × 7,273
  4. Step 4: Simplify right side
    12,241x = 122,870,207.46
  5. Step 5: Solve for x
    x = 122,870,207.46/12,241
  6. Step 6: Final answer
    x = 10,037.60

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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.