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Finding the Fourth Proportional to 16,208.64, 24,243.84 and 9,953.28

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Solution

The fourth proportional to 16,208.64, 24,243.84 and 9,953.28 is: 14,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.64 : 24,243.84 = 9,953.28 : x
  2. Step 2: Convert to fraction form
    16,208.64/24,243.84 = 9,953.28/x
  3. Step 3: Cross multiply
    16,208.64x = 24,243.84 × 9,953.28
  4. Step 4: Simplify right side
    16,208.64x = 241,305,727.80
  5. Step 5: Solve for x
    x = 241,305,727.80/16,208.64
  6. Step 6: Final answer
    x = 14,887.48

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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.