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Finding the Fourth Proportional to 14,222.61, 21,338.46 and 6,827.58

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Solution

The fourth proportional to 14,222.61, 21,338.46 and 6,827.58 is: 10,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.61 : 21,338.46 = 6,827.58 : x
  2. Step 2: Convert to fraction form
    14,222.61/21,338.46 = 6,827.58/x
  3. Step 3: Cross multiply
    14,222.61x = 21,338.46 × 6,827.58
  4. Step 4: Simplify right side
    14,222.61x = 145,690,042.73
  5. Step 5: Solve for x
    x = 145,690,042.73/14,222.61
  6. Step 6: Final answer
    x = 10,243.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.