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Finding the Fourth Proportional to 23,139.30, 34,745.40 and 13,297.80

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Solution

The fourth proportional to 23,139.30, 34,745.40 and 13,297.80 is: 19,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,139.30 : 34,745.40 = 13,297.80 : x
  2. Step 2: Convert to fraction form
    23,139.30/34,745.40 = 13,297.80/x
  3. Step 3: Cross multiply
    23,139.30x = 34,745.40 × 13,297.80
  4. Step 4: Simplify right side
    23,139.30x = 462,037,380.12
  5. Step 5: Solve for x
    x = 462,037,380.12/23,139.30
  6. Step 6: Final answer
    x = 19,967.65

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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.