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Finding the Fourth Proportional to 13,505.93, 18,639.11 and 7,538.76

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Solution

The fourth proportional to 13,505.93, 18,639.11 and 7,538.76 is: 10,404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.93 : 18,639.11 = 7,538.76 : x
  2. Step 2: Convert to fraction form
    13,505.93/18,639.11 = 7,538.76/x
  3. Step 3: Cross multiply
    13,505.93x = 18,639.11 × 7,538.76
  4. Step 4: Simplify right side
    13,505.93x = 140,515,739.21
  5. Step 5: Solve for x
    x = 140,515,739.21/13,505.93
  6. Step 6: Final answer
    x = 10,404.01

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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.