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Finding the Fourth Proportional to 16,704.48, 23,055.96 and 10,415.64

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Solution

The fourth proportional to 16,704.48, 23,055.96 and 10,415.64 is: 14,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704.48 : 23,055.96 = 10,415.64 : x
  2. Step 2: Convert to fraction form
    16,704.48/23,055.96 = 10,415.64/x
  3. Step 3: Cross multiply
    16,704.48x = 23,055.96 × 10,415.64
  4. Step 4: Simplify right side
    16,704.48x = 240,142,579.21
  5. Step 5: Solve for x
    x = 240,142,579.21/16,704.48
  6. Step 6: Final answer
    x = 14,375.94

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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.