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Finding the Fourth Proportional to 13,242.28, 18,274.74 and 7,274.32

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Solution

The fourth proportional to 13,242.28, 18,274.74 and 7,274.32 is: 10,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.28 : 18,274.74 = 7,274.32 : x
  2. Step 2: Convert to fraction form
    13,242.28/18,274.74 = 7,274.32/x
  3. Step 3: Cross multiply
    13,242.28x = 18,274.74 × 7,274.32
  4. Step 4: Simplify right side
    13,242.28x = 132,936,306.68
  5. Step 5: Solve for x
    x = 132,936,306.68/13,242.28
  6. Step 6: Final answer
    x = 10,038.78

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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.