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Finding the Fourth Proportional to 17,044, 23,521.68 and 9,592.48

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Solution

The fourth proportional to 17,044, 23,521.68 and 9,592.48 is: 13,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,044 : 23,521.68 = 9,592.48 : x
  2. Step 2: Convert to fraction form
    17,044/23,521.68 = 9,592.48/x
  3. Step 3: Cross multiply
    17,044x = 23,521.68 × 9,592.48
  4. Step 4: Simplify right side
    17,044x = 225,631,244.97
  5. Step 5: Solve for x
    x = 225,631,244.97/17,044
  6. Step 6: Final answer
    x = 13,238.16

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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.