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Finding the Fourth Proportional to 24,813.60, 37,209.60 and 8,167.20

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Solution

The fourth proportional to 24,813.60, 37,209.60 and 8,167.20 is: 12,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813.60 : 37,209.60 = 8,167.20 : x
  2. Step 2: Convert to fraction form
    24,813.60/37,209.60 = 8,167.20/x
  3. Step 3: Cross multiply
    24,813.60x = 37,209.60 × 8,167.20
  4. Step 4: Simplify right side
    24,813.60x = 303,898,245.12
  5. Step 5: Solve for x
    x = 303,898,245.12/24,813.60
  6. Step 6: Final answer
    x = 12,247.25

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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.