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Finding the Fourth Proportional to 12,022.80, 17,989.83 and 7,281.69

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Solution

The fourth proportional to 12,022.80, 17,989.83 and 7,281.69 is: 10,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.80 : 17,989.83 = 7,281.69 : x
  2. Step 2: Convert to fraction form
    12,022.80/17,989.83 = 7,281.69/x
  3. Step 3: Cross multiply
    12,022.80x = 17,989.83 × 7,281.69
  4. Step 4: Simplify right side
    12,022.80x = 130,996,365.21
  5. Step 5: Solve for x
    x = 130,996,365.21/12,022.80
  6. Step 6: Final answer
    x = 10,895.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.