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Finding the Fourth Proportional to 17,356.38, 23,951.75 and 9,802.33

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Solution

The fourth proportional to 17,356.38, 23,951.75 and 9,802.33 is: 13,527.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,356.38 : 23,951.75 = 9,802.33 : x
  2. Step 2: Convert to fraction form
    17,356.38/23,951.75 = 9,802.33/x
  3. Step 3: Cross multiply
    17,356.38x = 23,951.75 × 9,802.33
  4. Step 4: Simplify right side
    17,356.38x = 234,783,038.55
  5. Step 5: Solve for x
    x = 234,783,038.55/17,356.38
  6. Step 6: Final answer
    x = 13,527.19

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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.