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Finding the Fourth Proportional to 16,083.96, 22,206.70 and 10,043.40

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Solution

The fourth proportional to 16,083.96, 22,206.70 and 10,043.40 is: 13,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.96 : 22,206.70 = 10,043.40 : x
  2. Step 2: Convert to fraction form
    16,083.96/22,206.70 = 10,043.40/x
  3. Step 3: Cross multiply
    16,083.96x = 22,206.70 × 10,043.40
  4. Step 4: Simplify right side
    16,083.96x = 223,030,770.78
  5. Step 5: Solve for x
    x = 223,030,770.78/16,083.96
  6. Step 6: Final answer
    x = 13,866.66

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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.