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Finding the Fourth Proportional to 23,862.80, 35,785.08 and 7,848.61

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Solution

The fourth proportional to 23,862.80, 35,785.08 and 7,848.61 is: 11,769.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,862.80 : 35,785.08 = 7,848.61 : x
  2. Step 2: Convert to fraction form
    23,862.80/35,785.08 = 7,848.61/x
  3. Step 3: Cross multiply
    23,862.80x = 35,785.08 × 7,848.61
  4. Step 4: Simplify right side
    23,862.80x = 280,863,136.74
  5. Step 5: Solve for x
    x = 280,863,136.74/23,862.80
  6. Step 6: Final answer
    x = 11,769.92

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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.