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Finding the Fourth Proportional to 22,342.97, 30,833.69 and 12,271.84

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Solution

The fourth proportional to 22,342.97, 30,833.69 and 12,271.84 is: 16,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.97 : 30,833.69 = 12,271.84 : x
  2. Step 2: Convert to fraction form
    22,342.97/30,833.69 = 12,271.84/x
  3. Step 3: Cross multiply
    22,342.97x = 30,833.69 × 12,271.84
  4. Step 4: Simplify right side
    22,342.97x = 378,385,971.85
  5. Step 5: Solve for x
    x = 378,385,971.85/22,342.97
  6. Step 6: Final answer
    x = 16,935.35

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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.