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Finding the Fourth Proportional to 12,022.85, 18,009.77 and 9,809.57

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Solution

The fourth proportional to 12,022.85, 18,009.77 and 9,809.57 is: 14,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.85 : 18,009.77 = 9,809.57 : x
  2. Step 2: Convert to fraction form
    12,022.85/18,009.77 = 9,809.57/x
  3. Step 3: Cross multiply
    12,022.85x = 18,009.77 × 9,809.57
  4. Step 4: Simplify right side
    12,022.85x = 176,668,009.45
  5. Step 5: Solve for x
    x = 176,668,009.45/12,022.85
  6. Step 6: Final answer
    x = 14,694.36

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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.