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Finding the Fourth Proportional to 16,416.55, 22,649.57 and 9,704.44

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Solution

The fourth proportional to 16,416.55, 22,649.57 and 9,704.44 is: 13,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.55 : 22,649.57 = 9,704.44 : x
  2. Step 2: Convert to fraction form
    16,416.55/22,649.57 = 9,704.44/x
  3. Step 3: Cross multiply
    16,416.55x = 22,649.57 × 9,704.44
  4. Step 4: Simplify right side
    16,416.55x = 219,801,409.27
  5. Step 5: Solve for x
    x = 219,801,409.27/16,416.55
  6. Step 6: Final answer
    x = 13,389.01

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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.