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Finding the Fourth Proportional to 12,220.76, 16,849.86 and 10,329

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Solution

The fourth proportional to 12,220.76, 16,849.86 and 10,329 is: 14,241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.76 : 16,849.86 = 10,329 : x
  2. Step 2: Convert to fraction form
    12,220.76/16,849.86 = 10,329/x
  3. Step 3: Cross multiply
    12,220.76x = 16,849.86 × 10,329
  4. Step 4: Simplify right side
    12,220.76x = 174,042,203.94
  5. Step 5: Solve for x
    x = 174,042,203.94/12,220.76
  6. Step 6: Final answer
    x = 14,241.53

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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.