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Finding the Fourth Proportional to 22,042, 30,418.20 and 12,106

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Solution

The fourth proportional to 22,042, 30,418.20 and 12,106 is: 16,706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,042 : 30,418.20 = 12,106 : x
  2. Step 2: Convert to fraction form
    22,042/30,418.20 = 12,106/x
  3. Step 3: Cross multiply
    22,042x = 30,418.20 × 12,106
  4. Step 4: Simplify right side
    22,042x = 368,242,729.20
  5. Step 5: Solve for x
    x = 368,242,729.20/22,042
  6. Step 6: Final answer
    x = 16,706.41

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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.