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Finding the Fourth Proportional to 17,005.38, 23,467.32 and 9,451.59

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Solution

The fourth proportional to 17,005.38, 23,467.32 and 9,451.59 is: 13,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.38 : 23,467.32 = 9,451.59 : x
  2. Step 2: Convert to fraction form
    17,005.38/23,467.32 = 9,451.59/x
  3. Step 3: Cross multiply
    17,005.38x = 23,467.32 × 9,451.59
  4. Step 4: Simplify right side
    17,005.38x = 221,803,487.04
  5. Step 5: Solve for x
    x = 221,803,487.04/17,005.38
  6. Step 6: Final answer
    x = 13,043.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.