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Finding the Fourth Proportional to 14,575.75, 21,885.49 and 8,342.80

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Solution

The fourth proportional to 14,575.75, 21,885.49 and 8,342.80 is: 12,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.75 : 21,885.49 = 8,342.80 : x
  2. Step 2: Convert to fraction form
    14,575.75/21,885.49 = 8,342.80/x
  3. Step 3: Cross multiply
    14,575.75x = 21,885.49 × 8,342.80
  4. Step 4: Simplify right side
    14,575.75x = 182,586,265.97
  5. Step 5: Solve for x
    x = 182,586,265.97/14,575.75
  6. Step 6: Final answer
    x = 12,526.71

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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.