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Finding the Fourth Proportional to 13,101.41, 18,080.06 and 7,133.12

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Solution

The fourth proportional to 13,101.41, 18,080.06 and 7,133.12 is: 9,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.41 : 18,080.06 = 7,133.12 : x
  2. Step 2: Convert to fraction form
    13,101.41/18,080.06 = 7,133.12/x
  3. Step 3: Cross multiply
    13,101.41x = 18,080.06 × 7,133.12
  4. Step 4: Simplify right side
    13,101.41x = 128,967,237.59
  5. Step 5: Solve for x
    x = 128,967,237.59/13,101.41
  6. Step 6: Final answer
    x = 9,843.77

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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.