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Finding the Fourth Proportional to 13,506.56, 18,639.01 and 7,538.22

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Solution

The fourth proportional to 13,506.56, 18,639.01 and 7,538.22 is: 10,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.56 : 18,639.01 = 7,538.22 : x
  2. Step 2: Convert to fraction form
    13,506.56/18,639.01 = 7,538.22/x
  3. Step 3: Cross multiply
    13,506.56x = 18,639.01 × 7,538.22
  4. Step 4: Simplify right side
    13,506.56x = 140,504,939.12
  5. Step 5: Solve for x
    x = 140,504,939.12/13,506.56
  6. Step 6: Final answer
    x = 10,402.72

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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.