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Finding the Fourth Proportional to 16,293, 22,484.37 and 9,219.27

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Solution

The fourth proportional to 16,293, 22,484.37 and 9,219.27 is: 12,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,293 : 22,484.37 = 9,219.27 : x
  2. Step 2: Convert to fraction form
    16,293/22,484.37 = 9,219.27/x
  3. Step 3: Cross multiply
    16,293x = 22,484.37 × 9,219.27
  4. Step 4: Simplify right side
    16,293x = 207,289,477.81
  5. Step 5: Solve for x
    x = 207,289,477.81/16,293
  6. Step 6: Final answer
    x = 12,722.61

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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.