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Finding the Fourth Proportional to 20,744.09, 28,618.48 and 12,007

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Solution

The fourth proportional to 20,744.09, 28,618.48 and 12,007 is: 16,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,744.09 : 28,618.48 = 12,007 : x
  2. Step 2: Convert to fraction form
    20,744.09/28,618.48 = 12,007/x
  3. Step 3: Cross multiply
    20,744.09x = 28,618.48 × 12,007
  4. Step 4: Simplify right side
    20,744.09x = 343,622,089.36
  5. Step 5: Solve for x
    x = 343,622,089.36/20,744.09
  6. Step 6: Final answer
    x = 16,564.82

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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.