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Finding the Fourth Proportional to 16,983.71, 25,478.77 and 7,623.50

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Solution

The fourth proportional to 16,983.71, 25,478.77 and 7,623.50 is: 11,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,983.71 : 25,478.77 = 7,623.50 : x
  2. Step 2: Convert to fraction form
    16,983.71/25,478.77 = 7,623.50/x
  3. Step 3: Cross multiply
    16,983.71x = 25,478.77 × 7,623.50
  4. Step 4: Simplify right side
    16,983.71x = 194,237,414.25
  5. Step 5: Solve for x
    x = 194,237,414.25/16,983.71
  6. Step 6: Final answer
    x = 11,436.69

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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.