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Finding the Fourth Proportional to 15,885.44, 23,826.34 and 4,199.58

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Solution

The fourth proportional to 15,885.44, 23,826.34 and 4,199.58 is: 6,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,885.44 : 23,826.34 = 4,199.58 : x
  2. Step 2: Convert to fraction form
    15,885.44/23,826.34 = 4,199.58/x
  3. Step 3: Cross multiply
    15,885.44x = 23,826.34 × 4,199.58
  4. Step 4: Simplify right side
    15,885.44x = 100,060,620.94
  5. Step 5: Solve for x
    x = 100,060,620.94/15,885.44
  6. Step 6: Final answer
    x = 6,298.89

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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.