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Finding the Fourth Proportional to 23,729, 32,745.48 and 13,118.72

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Solution

The fourth proportional to 23,729, 32,745.48 and 13,118.72 is: 18,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,729 : 32,745.48 = 13,118.72 : x
  2. Step 2: Convert to fraction form
    23,729/32,745.48 = 13,118.72/x
  3. Step 3: Cross multiply
    23,729x = 32,745.48 × 13,118.72
  4. Step 4: Simplify right side
    23,729x = 429,578,783.39
  5. Step 5: Solve for x
    x = 429,578,783.39/23,729
  6. Step 6: Final answer
    x = 18,103.54

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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.