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Finding the Fourth Proportional to 16,257.48, 24,362.81 and 9,578.22

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Solution

The fourth proportional to 16,257.48, 24,362.81 and 9,578.22 is: 14,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.48 : 24,362.81 = 9,578.22 : x
  2. Step 2: Convert to fraction form
    16,257.48/24,362.81 = 9,578.22/x
  3. Step 3: Cross multiply
    16,257.48x = 24,362.81 × 9,578.22
  4. Step 4: Simplify right side
    16,257.48x = 233,352,354.00
  5. Step 5: Solve for x
    x = 233,352,354.00/16,257.48
  6. Step 6: Final answer
    x = 14,353.54

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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.