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Finding the Fourth Proportional to 13,284.32, 18,331.94 and 7,906.74

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Solution

The fourth proportional to 13,284.32, 18,331.94 and 7,906.74 is: 10,911.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284.32 : 18,331.94 = 7,906.74 : x
  2. Step 2: Convert to fraction form
    13,284.32/18,331.94 = 7,906.74/x
  3. Step 3: Cross multiply
    13,284.32x = 18,331.94 × 7,906.74
  4. Step 4: Simplify right side
    13,284.32x = 144,945,883.28
  5. Step 5: Solve for x
    x = 144,945,883.28/13,284.32
  6. Step 6: Final answer
    x = 10,911.05

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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.