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Finding the Fourth Proportional to 29,197.20, 43,813.60 and 13,616

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Solution

The fourth proportional to 29,197.20, 43,813.60 and 13,616 is: 20,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,197.20 : 43,813.60 = 13,616 : x
  2. Step 2: Convert to fraction form
    29,197.20/43,813.60 = 13,616/x
  3. Step 3: Cross multiply
    29,197.20x = 43,813.60 × 13,616
  4. Step 4: Simplify right side
    29,197.20x = 596,565,977.60
  5. Step 5: Solve for x
    x = 596,565,977.60/29,197.20
  6. Step 6: Final answer
    x = 20,432.30

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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.