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Finding the Fourth Proportional to 13,210.84, 18,231.11 and 7,546.34

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Solution

The fourth proportional to 13,210.84, 18,231.11 and 7,546.34 is: 10,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,210.84 : 18,231.11 = 7,546.34 : x
  2. Step 2: Convert to fraction form
    13,210.84/18,231.11 = 7,546.34/x
  3. Step 3: Cross multiply
    13,210.84x = 18,231.11 × 7,546.34
  4. Step 4: Simplify right side
    13,210.84x = 137,578,025.75
  5. Step 5: Solve for x
    x = 137,578,025.75/13,210.84
  6. Step 6: Final answer
    x = 10,414.03

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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.