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Finding the Fourth Proportional to 23,838.28, 35,763.20 and 7,197.32

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Solution

The fourth proportional to 23,838.28, 35,763.20 and 7,197.32 is: 10,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.28 : 35,763.20 = 7,197.32 : x
  2. Step 2: Convert to fraction form
    23,838.28/35,763.20 = 7,197.32/x
  3. Step 3: Cross multiply
    23,838.28x = 35,763.20 × 7,197.32
  4. Step 4: Simplify right side
    23,838.28x = 257,398,979.82
  5. Step 5: Solve for x
    x = 257,398,979.82/23,838.28
  6. Step 6: Final answer
    x = 10,797.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.