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Finding the Fourth Proportional to 17,044.63, 23,521.59 and 9,972.38

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Solution

The fourth proportional to 17,044.63, 23,521.59 and 9,972.38 is: 13,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,044.63 : 23,521.59 = 9,972.38 : x
  2. Step 2: Convert to fraction form
    17,044.63/23,521.59 = 9,972.38/x
  3. Step 3: Cross multiply
    17,044.63x = 23,521.59 × 9,972.38
  4. Step 4: Simplify right side
    17,044.63x = 234,566,292.49
  5. Step 5: Solve for x
    x = 234,566,292.49/17,044.63
  6. Step 6: Final answer
    x = 13,761.89

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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.