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Finding the Fourth Proportional to 13,356.49, 20,034.64 and 5,457.32

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Solution

The fourth proportional to 13,356.49, 20,034.64 and 5,457.32 is: 8,185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,356.49 : 20,034.64 = 5,457.32 : x
  2. Step 2: Convert to fraction form
    13,356.49/20,034.64 = 5,457.32/x
  3. Step 3: Cross multiply
    13,356.49x = 20,034.64 × 5,457.32
  4. Step 4: Simplify right side
    13,356.49x = 109,335,441.56
  5. Step 5: Solve for x
    x = 109,335,441.56/13,356.49
  6. Step 6: Final answer
    x = 8,185.94

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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.