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Finding the Fourth Proportional to 17,850.50, 24,633.06 and 9,893.46

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Solution

The fourth proportional to 17,850.50, 24,633.06 and 9,893.46 is: 13,652.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,850.50 : 24,633.06 = 9,893.46 : x
  2. Step 2: Convert to fraction form
    17,850.50/24,633.06 = 9,893.46/x
  3. Step 3: Cross multiply
    17,850.50x = 24,633.06 × 9,893.46
  4. Step 4: Simplify right side
    17,850.50x = 243,706,193.79
  5. Step 5: Solve for x
    x = 243,706,193.79/17,850.50
  6. Step 6: Final answer
    x = 13,652.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.