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Finding the Fourth Proportional to 17,281.90, 23,849.12 and 9,728.38

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Solution

The fourth proportional to 17,281.90, 23,849.12 and 9,728.38 is: 13,425.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281.90 : 23,849.12 = 9,728.38 : x
  2. Step 2: Convert to fraction form
    17,281.90/23,849.12 = 9,728.38/x
  3. Step 3: Cross multiply
    17,281.90x = 23,849.12 × 9,728.38
  4. Step 4: Simplify right side
    17,281.90x = 232,013,302.03
  5. Step 5: Solve for x
    x = 232,013,302.03/17,281.90
  6. Step 6: Final answer
    x = 13,425.22

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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.