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Finding the Fourth Proportional to 16,104.49, 22,222.40 and 8,934.21

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Solution

The fourth proportional to 16,104.49, 22,222.40 and 8,934.21 is: 12,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.49 : 22,222.40 = 8,934.21 : x
  2. Step 2: Convert to fraction form
    16,104.49/22,222.40 = 8,934.21/x
  3. Step 3: Cross multiply
    16,104.49x = 22,222.40 × 8,934.21
  4. Step 4: Simplify right side
    16,104.49x = 198,539,543.63
  5. Step 5: Solve for x
    x = 198,539,543.63/16,104.49
  6. Step 6: Final answer
    x = 12,328.21

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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.