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Finding the Fourth Proportional to 16,283.34, 22,469.58 and 9,211.50

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Solution

The fourth proportional to 16,283.34, 22,469.58 and 9,211.50 is: 12,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.34 : 22,469.58 = 9,211.50 : x
  2. Step 2: Convert to fraction form
    16,283.34/22,469.58 = 9,211.50/x
  3. Step 3: Cross multiply
    16,283.34x = 22,469.58 × 9,211.50
  4. Step 4: Simplify right side
    16,283.34x = 206,978,536.17
  5. Step 5: Solve for x
    x = 206,978,536.17/16,283.34
  6. Step 6: Final answer
    x = 12,711.06

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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.