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Finding the Fourth Proportional to 13,505.50, 18,637.11 and 7,538.19

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Solution

The fourth proportional to 13,505.50, 18,637.11 and 7,538.19 is: 10,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.50 : 18,637.11 = 7,538.19 : x
  2. Step 2: Convert to fraction form
    13,505.50/18,637.11 = 7,538.19/x
  3. Step 3: Cross multiply
    13,505.50x = 18,637.11 × 7,538.19
  4. Step 4: Simplify right side
    13,505.50x = 140,490,076.23
  5. Step 5: Solve for x
    x = 140,490,076.23/13,505.50
  6. Step 6: Final answer
    x = 10,402.43

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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.