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Finding the Fourth Proportional to 16,704.63, 23,049.36 and 9,534.51

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Solution

The fourth proportional to 16,704.63, 23,049.36 and 9,534.51 is: 13,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704.63 : 23,049.36 = 9,534.51 : x
  2. Step 2: Convert to fraction form
    16,704.63/23,049.36 = 9,534.51/x
  3. Step 3: Cross multiply
    16,704.63x = 23,049.36 × 9,534.51
  4. Step 4: Simplify right side
    16,704.63x = 219,764,353.41
  5. Step 5: Solve for x
    x = 219,764,353.41/16,704.63
  6. Step 6: Final answer
    x = 13,155.89

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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.