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Finding the Fourth Proportional to 13,141.41, 18,126.13 and 7,832.13

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Solution

The fourth proportional to 13,141.41, 18,126.13 and 7,832.13 is: 10,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.41 : 18,126.13 = 7,832.13 : x
  2. Step 2: Convert to fraction form
    13,141.41/18,126.13 = 7,832.13/x
  3. Step 3: Cross multiply
    13,141.41x = 18,126.13 × 7,832.13
  4. Step 4: Simplify right side
    13,141.41x = 141,966,206.56
  5. Step 5: Solve for x
    x = 141,966,206.56/13,141.41
  6. Step 6: Final answer
    x = 10,802.97

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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.