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Finding the Fourth Proportional to 23,270.67, 32,113.85 and 12,660.30

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Solution

The fourth proportional to 23,270.67, 32,113.85 and 12,660.30 is: 17,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,270.67 : 32,113.85 = 12,660.30 : x
  2. Step 2: Convert to fraction form
    23,270.67/32,113.85 = 12,660.30/x
  3. Step 3: Cross multiply
    23,270.67x = 32,113.85 × 12,660.30
  4. Step 4: Simplify right side
    23,270.67x = 406,570,975.16
  5. Step 5: Solve for x
    x = 406,570,975.16/23,270.67
  6. Step 6: Final answer
    x = 17,471.39

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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.