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Finding the Fourth Proportional to 16,043.19, 22,139.67 and 8,969.46

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Solution

The fourth proportional to 16,043.19, 22,139.67 and 8,969.46 is: 12,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.19 : 22,139.67 = 8,969.46 : x
  2. Step 2: Convert to fraction form
    16,043.19/22,139.67 = 8,969.46/x
  3. Step 3: Cross multiply
    16,043.19x = 22,139.67 × 8,969.46
  4. Step 4: Simplify right side
    16,043.19x = 198,580,884.48
  5. Step 5: Solve for x
    x = 198,580,884.48/16,043.19
  6. Step 6: Final answer
    x = 12,377.89

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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.