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Finding the Fourth Proportional to 16,857.69, 25,289.79 and 6,468.63

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Solution

The fourth proportional to 16,857.69, 25,289.79 and 6,468.63 is: 9,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.69 : 25,289.79 = 6,468.63 : x
  2. Step 2: Convert to fraction form
    16,857.69/25,289.79 = 6,468.63/x
  3. Step 3: Cross multiply
    16,857.69x = 25,289.79 × 6,468.63
  4. Step 4: Simplify right side
    16,857.69x = 163,590,294.29
  5. Step 5: Solve for x
    x = 163,590,294.29/16,857.69
  6. Step 6: Final answer
    x = 9,704.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.