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Finding the Fourth Proportional to 12,309.69, 18,368.47 and 10,984.33

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Solution

The fourth proportional to 12,309.69, 18,368.47 and 10,984.33 is: 16,390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.69 : 18,368.47 = 10,984.33 : x
  2. Step 2: Convert to fraction form
    12,309.69/18,368.47 = 10,984.33/x
  3. Step 3: Cross multiply
    12,309.69x = 18,368.47 × 10,984.33
  4. Step 4: Simplify right side
    12,309.69x = 201,765,189.31
  5. Step 5: Solve for x
    x = 201,765,189.31/12,309.69
  6. Step 6: Final answer
    x = 16,390.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.