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Finding the Fourth Proportional to 22,338.14, 30,827.22 and 12,267.23

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Solution

The fourth proportional to 22,338.14, 30,827.22 and 12,267.23 is: 16,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,338.14 : 30,827.22 = 12,267.23 : x
  2. Step 2: Convert to fraction form
    22,338.14/30,827.22 = 12,267.23/x
  3. Step 3: Cross multiply
    22,338.14x = 30,827.22 × 12,267.23
  4. Step 4: Simplify right side
    22,338.14x = 378,164,598.00
  5. Step 5: Solve for x
    x = 378,164,598.00/22,338.14
  6. Step 6: Final answer
    x = 16,929.10

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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.