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Finding the Fourth Proportional to 16,152.82, 22,289.78 and 9,080.30

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Solution

The fourth proportional to 16,152.82, 22,289.78 and 9,080.30 is: 12,530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152.82 : 22,289.78 = 9,080.30 : x
  2. Step 2: Convert to fraction form
    16,152.82/22,289.78 = 9,080.30/x
  3. Step 3: Cross multiply
    16,152.82x = 22,289.78 × 9,080.30
  4. Step 4: Simplify right side
    16,152.82x = 202,397,889.33
  5. Step 5: Solve for x
    x = 202,397,889.33/16,152.82
  6. Step 6: Final answer
    x = 12,530.19

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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.