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Finding the Fourth Proportional to 17,274.47, 23,838.71 and 10,201.28

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Solution

The fourth proportional to 17,274.47, 23,838.71 and 10,201.28 is: 14,077.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274.47 : 23,838.71 = 10,201.28 : x
  2. Step 2: Convert to fraction form
    17,274.47/23,838.71 = 10,201.28/x
  3. Step 3: Cross multiply
    17,274.47x = 23,838.71 × 10,201.28
  4. Step 4: Simplify right side
    17,274.47x = 243,185,185.35
  5. Step 5: Solve for x
    x = 243,185,185.35/17,274.47
  6. Step 6: Final answer
    x = 14,077.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.