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Finding the Fourth Proportional to 21,834.84, 30,132.54 and 12,274.92

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Solution

The fourth proportional to 21,834.84, 30,132.54 and 12,274.92 is: 16,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,834.84 : 30,132.54 = 12,274.92 : x
  2. Step 2: Convert to fraction form
    21,834.84/30,132.54 = 12,274.92/x
  3. Step 3: Cross multiply
    21,834.84x = 30,132.54 × 12,274.92
  4. Step 4: Simplify right side
    21,834.84x = 369,874,517.90
  5. Step 5: Solve for x
    x = 369,874,517.90/21,834.84
  6. Step 6: Final answer
    x = 16,939.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.