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Finding the Fourth Proportional to 16,549.28, 22,838 and 9,475.68

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Solution

The fourth proportional to 16,549.28, 22,838 and 9,475.68 is: 13,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.28 : 22,838 = 9,475.68 : x
  2. Step 2: Convert to fraction form
    16,549.28/22,838 = 9,475.68/x
  3. Step 3: Cross multiply
    16,549.28x = 22,838 × 9,475.68
  4. Step 4: Simplify right side
    16,549.28x = 216,405,579.84
  5. Step 5: Solve for x
    x = 216,405,579.84/16,549.28
  6. Step 6: Final answer
    x = 13,076.43

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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.