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Finding the Fourth Proportional to 13,462.64, 18,577.80 and 8,157.12

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Solution

The fourth proportional to 13,462.64, 18,577.80 and 8,157.12 is: 11,256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.64 : 18,577.80 = 8,157.12 : x
  2. Step 2: Convert to fraction form
    13,462.64/18,577.80 = 8,157.12/x
  3. Step 3: Cross multiply
    13,462.64x = 18,577.80 × 8,157.12
  4. Step 4: Simplify right side
    13,462.64x = 151,541,343.94
  5. Step 5: Solve for x
    x = 151,541,343.94/13,462.64
  6. Step 6: Final answer
    x = 11,256.44

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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.