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Finding the Fourth Proportional to 12,309.12, 16,991.76 and 9,159.84

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Solution

The fourth proportional to 12,309.12, 16,991.76 and 9,159.84 is: 12,644.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.12 : 16,991.76 = 9,159.84 : x
  2. Step 2: Convert to fraction form
    12,309.12/16,991.76 = 9,159.84/x
  3. Step 3: Cross multiply
    12,309.12x = 16,991.76 × 9,159.84
  4. Step 4: Simplify right side
    12,309.12x = 155,641,802.92
  5. Step 5: Solve for x
    x = 155,641,802.92/12,309.12
  6. Step 6: Final answer
    x = 12,644.43

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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.