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Finding the Fourth Proportional to 12,824.64, 19,236.96 and 5,899.20

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Solution

The fourth proportional to 12,824.64, 19,236.96 and 5,899.20 is: 8,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.64 : 19,236.96 = 5,899.20 : x
  2. Step 2: Convert to fraction form
    12,824.64/19,236.96 = 5,899.20/x
  3. Step 3: Cross multiply
    12,824.64x = 19,236.96 × 5,899.20
  4. Step 4: Simplify right side
    12,824.64x = 113,482,674.43
  5. Step 5: Solve for x
    x = 113,482,674.43/12,824.64
  6. Step 6: Final answer
    x = 8,848.80

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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.