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Finding the Fourth Proportional to 23,311.95, 32,170.86 and 12,701.58

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Solution

The fourth proportional to 23,311.95, 32,170.86 and 12,701.58 is: 17,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,311.95 : 32,170.86 = 12,701.58 : x
  2. Step 2: Convert to fraction form
    23,311.95/32,170.86 = 12,701.58/x
  3. Step 3: Cross multiply
    23,311.95x = 32,170.86 × 12,701.58
  4. Step 4: Simplify right side
    23,311.95x = 408,620,751.96
  5. Step 5: Solve for x
    x = 408,620,751.96/23,311.95
  6. Step 6: Final answer
    x = 17,528.38

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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.