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Finding the Fourth Proportional to 16,009.64, 22,096.19 and 9,549.69

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Solution

The fourth proportional to 16,009.64, 22,096.19 and 9,549.69 is: 13,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009.64 : 22,096.19 = 9,549.69 : x
  2. Step 2: Convert to fraction form
    16,009.64/22,096.19 = 9,549.69/x
  3. Step 3: Cross multiply
    16,009.64x = 22,096.19 × 9,549.69
  4. Step 4: Simplify right side
    16,009.64x = 211,011,764.68
  5. Step 5: Solve for x
    x = 211,011,764.68/16,009.64
  6. Step 6: Final answer
    x = 13,180.29

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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.