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Finding the Fourth Proportional to 14,634.94, 20,193.66 and 8,346.10

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Solution

The fourth proportional to 14,634.94, 20,193.66 and 8,346.10 is: 11,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,634.94 : 20,193.66 = 8,346.10 : x
  2. Step 2: Convert to fraction form
    14,634.94/20,193.66 = 8,346.10/x
  3. Step 3: Cross multiply
    14,634.94x = 20,193.66 × 8,346.10
  4. Step 4: Simplify right side
    14,634.94x = 168,538,305.73
  5. Step 5: Solve for x
    x = 168,538,305.73/14,634.94
  6. Step 6: Final answer
    x = 11,516.16

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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.