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Finding the Fourth Proportional to 13,102.09, 18,080.89 and 7,133.76

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Solution

The fourth proportional to 13,102.09, 18,080.89 and 7,133.76 is: 9,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.09 : 18,080.89 = 7,133.76 : x
  2. Step 2: Convert to fraction form
    13,102.09/18,080.89 = 7,133.76/x
  3. Step 3: Cross multiply
    13,102.09x = 18,080.89 × 7,133.76
  4. Step 4: Simplify right side
    13,102.09x = 128,984,694.18
  5. Step 5: Solve for x
    x = 128,984,694.18/13,102.09
  6. Step 6: Final answer
    x = 9,844.59

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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.