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Finding the Fourth Proportional to 12,300.70, 16,969.82 and 8,052.80

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Solution

The fourth proportional to 12,300.70, 16,969.82 and 8,052.80 is: 11,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300.70 : 16,969.82 = 8,052.80 : x
  2. Step 2: Convert to fraction form
    12,300.70/16,969.82 = 8,052.80/x
  3. Step 3: Cross multiply
    12,300.70x = 16,969.82 × 8,052.80
  4. Step 4: Simplify right side
    12,300.70x = 136,654,566.50
  5. Step 5: Solve for x
    x = 136,654,566.50/12,300.70
  6. Step 6: Final answer
    x = 11,109.50

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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.