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Finding the Fourth Proportional to 21,449.60, 32,170.08 and 13,647.68

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Solution

The fourth proportional to 21,449.60, 32,170.08 and 13,647.68 is: 20,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,449.60 : 32,170.08 = 13,647.68 : x
  2. Step 2: Convert to fraction form
    21,449.60/32,170.08 = 13,647.68/x
  3. Step 3: Cross multiply
    21,449.60x = 32,170.08 × 13,647.68
  4. Step 4: Simplify right side
    21,449.60x = 439,046,957.41
  5. Step 5: Solve for x
    x = 439,046,957.41/21,449.60
  6. Step 6: Final answer
    x = 20,468.77

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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.