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Finding the Fourth Proportional to 16,299.69, 22,494.03 and 9,225.96

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Solution

The fourth proportional to 16,299.69, 22,494.03 and 9,225.96 is: 12,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.69 : 22,494.03 = 9,225.96 : x
  2. Step 2: Convert to fraction form
    16,299.69/22,494.03 = 9,225.96/x
  3. Step 3: Cross multiply
    16,299.69x = 22,494.03 × 9,225.96
  4. Step 4: Simplify right side
    16,299.69x = 207,529,021.02
  5. Step 5: Solve for x
    x = 207,529,021.02/16,299.69
  6. Step 6: Final answer
    x = 12,732.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.