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Finding the Fourth Proportional to 13,505.28, 18,636.72 and 7,836.48

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Solution

The fourth proportional to 13,505.28, 18,636.72 and 7,836.48 is: 10,814.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.28 : 18,636.72 = 7,836.48 : x
  2. Step 2: Convert to fraction form
    13,505.28/18,636.72 = 7,836.48/x
  3. Step 3: Cross multiply
    13,505.28x = 18,636.72 × 7,836.48
  4. Step 4: Simplify right side
    13,505.28x = 146,046,283.55
  5. Step 5: Solve for x
    x = 146,046,283.55/13,505.28
  6. Step 6: Final answer
    x = 10,814.01

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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.