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Finding the Fourth Proportional to 12,365.78, 18,548.64 and 4,157.78

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Solution

The fourth proportional to 12,365.78, 18,548.64 and 4,157.78 is: 6,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.78 : 18,548.64 = 4,157.78 : x
  2. Step 2: Convert to fraction form
    12,365.78/18,548.64 = 4,157.78/x
  3. Step 3: Cross multiply
    12,365.78x = 18,548.64 × 4,157.78
  4. Step 4: Simplify right side
    12,365.78x = 77,121,164.42
  5. Step 5: Solve for x
    x = 77,121,164.42/12,365.78
  6. Step 6: Final answer
    x = 6,236.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.