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Finding the Fourth Proportional to 21,267, 29,349.21 and 12,194.04

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Solution

The fourth proportional to 21,267, 29,349.21 and 12,194.04 is: 16,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,267 : 29,349.21 = 12,194.04 : x
  2. Step 2: Convert to fraction form
    21,267/29,349.21 = 12,194.04/x
  3. Step 3: Cross multiply
    21,267x = 29,349.21 × 12,194.04
  4. Step 4: Simplify right side
    21,267x = 357,885,440.71
  5. Step 5: Solve for x
    x = 357,885,440.71/21,267
  6. Step 6: Final answer
    x = 16,828.21

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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.