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Finding the Fourth Proportional to 13,076.17, 18,043.76 and 7,769.96

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Solution

The fourth proportional to 13,076.17, 18,043.76 and 7,769.96 is: 10,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.17 : 18,043.76 = 7,769.96 : x
  2. Step 2: Convert to fraction form
    13,076.17/18,043.76 = 7,769.96/x
  3. Step 3: Cross multiply
    13,076.17x = 18,043.76 × 7,769.96
  4. Step 4: Simplify right side
    13,076.17x = 140,199,290.32
  5. Step 5: Solve for x
    x = 140,199,290.32/13,076.17
  6. Step 6: Final answer
    x = 10,721.74

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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.