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Finding the Fourth Proportional to 16,800.40, 23,184.24 and 9,726.64

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Solution

The fourth proportional to 16,800.40, 23,184.24 and 9,726.64 is: 13,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,800.40 : 23,184.24 = 9,726.64 : x
  2. Step 2: Convert to fraction form
    16,800.40/23,184.24 = 9,726.64/x
  3. Step 3: Cross multiply
    16,800.40x = 23,184.24 × 9,726.64
  4. Step 4: Simplify right side
    16,800.40x = 225,504,756.15
  5. Step 5: Solve for x
    x = 225,504,756.15/16,800.40
  6. Step 6: Final answer
    x = 13,422.58

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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.