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Finding the Fourth Proportional to 16,299.56, 24,430.66 and 7,405.31

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Solution

The fourth proportional to 16,299.56, 24,430.66 and 7,405.31 is: 11,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.56 : 24,430.66 = 7,405.31 : x
  2. Step 2: Convert to fraction form
    16,299.56/24,430.66 = 7,405.31/x
  3. Step 3: Cross multiply
    16,299.56x = 24,430.66 × 7,405.31
  4. Step 4: Simplify right side
    16,299.56x = 180,916,653.37
  5. Step 5: Solve for x
    x = 180,916,653.37/16,299.56
  6. Step 6: Final answer
    x = 11,099.48

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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.