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Finding the Fourth Proportional to 23,872.60, 35,816.10 and 12,784.60

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Solution

The fourth proportional to 23,872.60, 35,816.10 and 12,784.60 is: 19,180.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,872.60 : 35,816.10 = 12,784.60 : x
  2. Step 2: Convert to fraction form
    23,872.60/35,816.10 = 12,784.60/x
  3. Step 3: Cross multiply
    23,872.60x = 35,816.10 × 12,784.60
  4. Step 4: Simplify right side
    23,872.60x = 457,894,512.06
  5. Step 5: Solve for x
    x = 457,894,512.06/23,872.60
  6. Step 6: Final answer
    x = 19,180.76

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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.