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Finding the Fourth Proportional to 16,194.56, 24,283.50 and 7,421.96

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Solution

The fourth proportional to 16,194.56, 24,283.50 and 7,421.96 is: 11,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,194.56 : 24,283.50 = 7,421.96 : x
  2. Step 2: Convert to fraction form
    16,194.56/24,283.50 = 7,421.96/x
  3. Step 3: Cross multiply
    16,194.56x = 24,283.50 × 7,421.96
  4. Step 4: Simplify right side
    16,194.56x = 180,231,165.66
  5. Step 5: Solve for x
    x = 180,231,165.66/16,194.56
  6. Step 6: Final answer
    x = 11,129.12

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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.