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Finding the Fourth Proportional to 16,209.60, 24,314.40 and 13,444.80

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Solution

The fourth proportional to 16,209.60, 24,314.40 and 13,444.80 is: 20,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.60 : 24,314.40 = 13,444.80 : x
  2. Step 2: Convert to fraction form
    16,209.60/24,314.40 = 13,444.80/x
  3. Step 3: Cross multiply
    16,209.60x = 24,314.40 × 13,444.80
  4. Step 4: Simplify right side
    16,209.60x = 326,902,245.12
  5. Step 5: Solve for x
    x = 326,902,245.12/16,209.60
  6. Step 6: Final answer
    x = 20,167.20

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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.