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Finding the Fourth Proportional to 16,706.22, 23,062.23 and 14,428.50

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Solution

The fourth proportional to 16,706.22, 23,062.23 and 14,428.50 is: 19,917.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.22 : 23,062.23 = 14,428.50 : x
  2. Step 2: Convert to fraction form
    16,706.22/23,062.23 = 14,428.50/x
  3. Step 3: Cross multiply
    16,706.22x = 23,062.23 × 14,428.50
  4. Step 4: Simplify right side
    16,706.22x = 332,753,385.56
  5. Step 5: Solve for x
    x = 332,753,385.56/16,706.22
  6. Step 6: Final answer
    x = 19,917.93

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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.