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Finding the Fourth Proportional to 16,420.24, 22,662.14 and 9,709.80

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Solution

The fourth proportional to 16,420.24, 22,662.14 and 9,709.80 is: 13,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.24 : 22,662.14 = 9,709.80 : x
  2. Step 2: Convert to fraction form
    16,420.24/22,662.14 = 9,709.80/x
  3. Step 3: Cross multiply
    16,420.24x = 22,662.14 × 9,709.80
  4. Step 4: Simplify right side
    16,420.24x = 220,044,846.97
  5. Step 5: Solve for x
    x = 220,044,846.97/16,420.24
  6. Step 6: Final answer
    x = 13,400.83

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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.