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Finding the Fourth Proportional to 17,274.94, 23,838.11 and 10,200

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Solution

The fourth proportional to 17,274.94, 23,838.11 and 10,200 is: 14,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274.94 : 23,838.11 = 10,200 : x
  2. Step 2: Convert to fraction form
    17,274.94/23,838.11 = 10,200/x
  3. Step 3: Cross multiply
    17,274.94x = 23,838.11 × 10,200
  4. Step 4: Simplify right side
    17,274.94x = 243,148,722
  5. Step 5: Solve for x
    x = 243,148,722/17,274.94
  6. Step 6: Final answer
    x = 14,075.23

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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.