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Finding the Fourth Proportional to 17,005.66, 23,467.36 and 9,451.80

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Solution

The fourth proportional to 17,005.66, 23,467.36 and 9,451.80 is: 13,043.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.66 : 23,467.36 = 9,451.80 : x
  2. Step 2: Convert to fraction form
    17,005.66/23,467.36 = 9,451.80/x
  3. Step 3: Cross multiply
    17,005.66x = 23,467.36 × 9,451.80
  4. Step 4: Simplify right side
    17,005.66x = 221,808,793.25
  5. Step 5: Solve for x
    x = 221,808,793.25/17,005.66
  6. Step 6: Final answer
    x = 13,043.23

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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.