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Finding the Fourth Proportional to 16,273.35, 22,457.10 and 9,199.77

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Solution

The fourth proportional to 16,273.35, 22,457.10 and 9,199.77 is: 12,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,273.35 : 22,457.10 = 9,199.77 : x
  2. Step 2: Convert to fraction form
    16,273.35/22,457.10 = 9,199.77/x
  3. Step 3: Cross multiply
    16,273.35x = 22,457.10 × 9,199.77
  4. Step 4: Simplify right side
    16,273.35x = 206,600,154.87
  5. Step 5: Solve for x
    x = 206,600,154.87/16,273.35
  6. Step 6: Final answer
    x = 12,695.61

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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.