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Finding the Fourth Proportional to 16,117.60, 24,144.02 and 8,219.80

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Solution

The fourth proportional to 16,117.60, 24,144.02 and 8,219.80 is: 12,313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.60 : 24,144.02 = 8,219.80 : x
  2. Step 2: Convert to fraction form
    16,117.60/24,144.02 = 8,219.80/x
  3. Step 3: Cross multiply
    16,117.60x = 24,144.02 × 8,219.80
  4. Step 4: Simplify right side
    16,117.60x = 198,459,015.60
  5. Step 5: Solve for x
    x = 198,459,015.60/16,117.60
  6. Step 6: Final answer
    x = 12,313.19

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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.