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Finding the Fourth Proportional to 23,797.28, 35,712.06 and 12,711.92

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Solution

The fourth proportional to 23,797.28, 35,712.06 and 12,711.92 is: 19,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.28 : 35,712.06 = 12,711.92 : x
  2. Step 2: Convert to fraction form
    23,797.28/35,712.06 = 12,711.92/x
  3. Step 3: Cross multiply
    23,797.28x = 35,712.06 × 12,711.92
  4. Step 4: Simplify right side
    23,797.28x = 453,968,671.19
  5. Step 5: Solve for x
    x = 453,968,671.19/23,797.28
  6. Step 6: Final answer
    x = 19,076.50

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Why These Related Problems?

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