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Finding the Fourth Proportional to 13,653.08, 20,475.97 and 8,420.68

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Solution

The fourth proportional to 13,653.08, 20,475.97 and 8,420.68 is: 12,628.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,653.08 : 20,475.97 = 8,420.68 : x
  2. Step 2: Convert to fraction form
    13,653.08/20,475.97 = 8,420.68/x
  3. Step 3: Cross multiply
    13,653.08x = 20,475.97 × 8,420.68
  4. Step 4: Simplify right side
    13,653.08x = 172,421,591.06
  5. Step 5: Solve for x
    x = 172,421,591.06/13,653.08
  6. Step 6: Final answer
    x = 12,628.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.