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Finding the Fourth Proportional to 13,524.31, 18,637.17 and 9,740.34

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Solution

The fourth proportional to 13,524.31, 18,637.17 and 9,740.34 is: 13,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.31 : 18,637.17 = 9,740.34 : x
  2. Step 2: Convert to fraction form
    13,524.31/18,637.17 = 9,740.34/x
  3. Step 3: Cross multiply
    13,524.31x = 18,637.17 × 9,740.34
  4. Step 4: Simplify right side
    13,524.31x = 181,532,372.44
  5. Step 5: Solve for x
    x = 181,532,372.44/13,524.31
  6. Step 6: Final answer
    x = 13,422.67

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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.