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Finding the Fourth Proportional to 13,157.34, 18,157.47 and 7,189.56

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Solution

The fourth proportional to 13,157.34, 18,157.47 and 7,189.56 is: 9,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.34 : 18,157.47 = 7,189.56 : x
  2. Step 2: Convert to fraction form
    13,157.34/18,157.47 = 7,189.56/x
  3. Step 3: Cross multiply
    13,157.34x = 18,157.47 × 7,189.56
  4. Step 4: Simplify right side
    13,157.34x = 130,544,220.01
  5. Step 5: Solve for x
    x = 130,544,220.01/13,157.34
  6. Step 6: Final answer
    x = 9,921.78

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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.