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Finding the Fourth Proportional to 16,276.40, 22,461.24 and 9,202.80

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Solution

The fourth proportional to 16,276.40, 22,461.24 and 9,202.80 is: 12,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.40 : 22,461.24 = 9,202.80 : x
  2. Step 2: Convert to fraction form
    16,276.40/22,461.24 = 9,202.80/x
  3. Step 3: Cross multiply
    16,276.40x = 22,461.24 × 9,202.80
  4. Step 4: Simplify right side
    16,276.40x = 206,706,299.47
  5. Step 5: Solve for x
    x = 206,706,299.47/16,276.40
  6. Step 6: Final answer
    x = 12,699.76

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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.