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Finding the Fourth Proportional to 14,884.32, 22,327.20 and 8,724

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Solution

The fourth proportional to 14,884.32, 22,327.20 and 8,724 is: 13,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.32 : 22,327.20 = 8,724 : x
  2. Step 2: Convert to fraction form
    14,884.32/22,327.20 = 8,724/x
  3. Step 3: Cross multiply
    14,884.32x = 22,327.20 × 8,724
  4. Step 4: Simplify right side
    14,884.32x = 194,782,492.80
  5. Step 5: Solve for x
    x = 194,782,492.80/14,884.32
  6. Step 6: Final answer
    x = 13,086.42

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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.