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Finding the Fourth Proportional to 23,799.50, 35,701.05 and 8,004.58

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Solution

The fourth proportional to 23,799.50, 35,701.05 and 8,004.58 is: 12,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,799.50 : 35,701.05 = 8,004.58 : x
  2. Step 2: Convert to fraction form
    23,799.50/35,701.05 = 8,004.58/x
  3. Step 3: Cross multiply
    23,799.50x = 35,701.05 × 8,004.58
  4. Step 4: Simplify right side
    23,799.50x = 285,771,692.28
  5. Step 5: Solve for x
    x = 285,771,692.28/23,799.50
  6. Step 6: Final answer
    x = 12,007.47

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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.