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Finding the Fourth Proportional to 16,704, 23,051.76 and 9,252.48

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Solution

The fourth proportional to 16,704, 23,051.76 and 9,252.48 is: 12,768.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,704 : 23,051.76 = 9,252.48 : x
  2. Step 2: Convert to fraction form
    16,704/23,051.76 = 9,252.48/x
  3. Step 3: Cross multiply
    16,704x = 23,051.76 × 9,252.48
  4. Step 4: Simplify right side
    16,704x = 213,285,948.36
  5. Step 5: Solve for x
    x = 213,285,948.36/16,704
  6. Step 6: Final answer
    x = 12,768.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.