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Finding the Fourth Proportional to 23,893.80, 35,830.98 and 10,742.64

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Solution

The fourth proportional to 23,893.80, 35,830.98 and 10,742.64 is: 16,109.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.80 : 35,830.98 = 10,742.64 : x
  2. Step 2: Convert to fraction form
    23,893.80/35,830.98 = 10,742.64/x
  3. Step 3: Cross multiply
    23,893.80x = 35,830.98 × 10,742.64
  4. Step 4: Simplify right side
    23,893.80x = 384,919,318.99
  5. Step 5: Solve for x
    x = 384,919,318.99/23,893.80
  6. Step 6: Final answer
    x = 16,109.59

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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.