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Finding the Fourth Proportional to 13,506.96, 18,640.01 and 7,538.48

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Solution

The fourth proportional to 13,506.96, 18,640.01 and 7,538.48 is: 10,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.96 : 18,640.01 = 7,538.48 : x
  2. Step 2: Convert to fraction form
    13,506.96/18,640.01 = 7,538.48/x
  3. Step 3: Cross multiply
    13,506.96x = 18,640.01 × 7,538.48
  4. Step 4: Simplify right side
    13,506.96x = 140,517,268.23
  5. Step 5: Solve for x
    x = 140,517,268.23/13,506.96
  6. Step 6: Final answer
    x = 10,403.32

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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.