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Finding the Fourth Proportional to 16,214.76, 22,377.66 and 9,047.03

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Solution

The fourth proportional to 16,214.76, 22,377.66 and 9,047.03 is: 12,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.76 : 22,377.66 = 9,047.03 : x
  2. Step 2: Convert to fraction form
    16,214.76/22,377.66 = 9,047.03/x
  3. Step 3: Cross multiply
    16,214.76x = 22,377.66 × 9,047.03
  4. Step 4: Simplify right side
    16,214.76x = 202,451,249.46
  5. Step 5: Solve for x
    x = 202,451,249.46/16,214.76
  6. Step 6: Final answer
    x = 12,485.61

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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.