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Finding the Fourth Proportional to 16,963.76, 23,409.99 and 9,409.84

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Solution

The fourth proportional to 16,963.76, 23,409.99 and 9,409.84 is: 12,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,963.76 : 23,409.99 = 9,409.84 : x
  2. Step 2: Convert to fraction form
    16,963.76/23,409.99 = 9,409.84/x
  3. Step 3: Cross multiply
    16,963.76x = 23,409.99 × 9,409.84
  4. Step 4: Simplify right side
    16,963.76x = 220,284,260.30
  5. Step 5: Solve for x
    x = 220,284,260.30/16,963.76
  6. Step 6: Final answer
    x = 12,985.58

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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.