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Finding the Fourth Proportional to 17,068, 23,532.24 and 14,032

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Solution

The fourth proportional to 17,068, 23,532.24 and 14,032 is: 19,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,068 : 23,532.24 = 14,032 : x
  2. Step 2: Convert to fraction form
    17,068/23,532.24 = 14,032/x
  3. Step 3: Cross multiply
    17,068x = 23,532.24 × 14,032
  4. Step 4: Simplify right side
    17,068x = 330,204,391.68
  5. Step 5: Solve for x
    x = 330,204,391.68/17,068
  6. Step 6: Final answer
    x = 19,346.40

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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.