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Finding the Fourth Proportional to 23,729.40, 32,745.24 and 13,118.40

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Solution

The fourth proportional to 23,729.40, 32,745.24 and 13,118.40 is: 18,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,729.40 : 32,745.24 = 13,118.40 : x
  2. Step 2: Convert to fraction form
    23,729.40/32,745.24 = 13,118.40/x
  3. Step 3: Cross multiply
    23,729.40x = 32,745.24 × 13,118.40
  4. Step 4: Simplify right side
    23,729.40x = 429,565,156.42
  5. Step 5: Solve for x
    x = 429,565,156.42/23,729.40
  6. Step 6: Final answer
    x = 18,102.66

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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.