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Finding the Fourth Proportional to 16,614.21, 24,903.55 and 8,277.80

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Solution

The fourth proportional to 16,614.21, 24,903.55 and 8,277.80 is: 12,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,614.21 : 24,903.55 = 8,277.80 : x
  2. Step 2: Convert to fraction form
    16,614.21/24,903.55 = 8,277.80/x
  3. Step 3: Cross multiply
    16,614.21x = 24,903.55 × 8,277.80
  4. Step 4: Simplify right side
    16,614.21x = 206,146,492.02
  5. Step 5: Solve for x
    x = 206,146,492.02/16,614.21
  6. Step 6: Final answer
    x = 12,407.84

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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.