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Finding the Fourth Proportional to 14,584.70, 21,877.05 and 8,342.30

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Solution

The fourth proportional to 14,584.70, 21,877.05 and 8,342.30 is: 12,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,584.70 : 21,877.05 = 8,342.30 : x
  2. Step 2: Convert to fraction form
    14,584.70/21,877.05 = 8,342.30/x
  3. Step 3: Cross multiply
    14,584.70x = 21,877.05 × 8,342.30
  4. Step 4: Simplify right side
    14,584.70x = 182,504,914.22
  5. Step 5: Solve for x
    x = 182,504,914.22/14,584.70
  6. Step 6: Final answer
    x = 12,513.45

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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.